Scientia Fellow (Level C)

Dr Chris Goodrich

  • PhD Mathematics (University of Nebraska-Lincoln)
Science
Sch of Mathematics & Statistic
Phone
9385 7036
Location
School of Mathematics and Statistics UNSW Sydney NSW 2052 The Red Centre Room 2070

Publications

  • Books | 2016
    Dr Chris Goodrich
    Goodrich C; Peterson AC, 2016, Discrete fractional calculus, http://dx.doi.org/10.1007/978-3-319-25562-0
  • Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'Discrete Kirchhoff equations with sign-changing coefficients', Journal of Difference Equations and Applications, http://dx.doi.org/10.1080/10236198.2021.1929945
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'Differential equations with multiple sign changing convolution coefficients', International Journal of Mathematics, http://dx.doi.org/10.1142/S0129167X21500579
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS; Lyons B; Scapellato A; Velcsov MT, 2021, 'Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound', Journal of Difference Equations and Applications, vol. 27, pp. 317 - 341, http://dx.doi.org/10.1080/10236198.2021.1894142
    Journal articles | 2021
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2021, 'Theoretical and numerical analysis of monotonicity results for fractional difference operators', Applied Mathematics Letters, vol. 117, http://dx.doi.org/10.1016/j.aml.2021.107104
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS; Jonnalagadda JM; Lyons B, 2021, 'Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels', Mathematical Methods in the Applied Sciences, vol. 44, pp. 7099 - 7120, http://dx.doi.org/10.1002/mma.7247
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS; Lyons B; Velcsov MT, 2021, 'ANALYTICAL and NUMERICAL MONOTONICITY RESULTS for DISCRETE FRACTIONAL SEQUENTIAL DIFFERENCES with NEGATIVE LOWER BOUND', Communications on Pure and Applied Analysis, vol. 20, pp. 339 - 358, http://dx.doi.org/10.3934/cpaa.2020269
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS; Jonnalagadda JM, 2021, 'Monotonicity results for CFC nabla fractional differences with negative lower bound', Analysis (Germany), http://dx.doi.org/10.1515/anly-2021-0011
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'Nonlocal differential equations with concave coefficients of convolution type', Nonlinear Analysis, Theory, Methods and Applications, vol. 211, http://dx.doi.org/10.1016/j.na.2021.112437
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'A topological approach to nonlocal elliptic partial differential equations on an annulus', Mathematische Nachrichten, vol. 294, pp. 286 - 309, http://dx.doi.org/10.1002/mana.201900204
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'Topological analysis of doubly nonlocal boundary value problems', Journal of Fixed Point Theory and Applications, vol. 23, http://dx.doi.org/10.1007/s11784-021-00865-1
    Journal articles | 2021
    Dr Chris Goodrich
    Goodrich CS, 2021, 'Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients', Journal of Mathematical Analysis and Applications, vol. 498, http://dx.doi.org/10.1016/j.jmaa.2021.124962
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich CS, 2020, 'Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements', Banach Journal of Mathematical Analysis, vol. 14, pp. 290 - 312, http://dx.doi.org/10.1007/s43037-019-00017-1
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich C; Lizama C, 2020, 'A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity', Israel Journal of Mathematics, vol. 236, pp. 533 - 589, http://dx.doi.org/10.1007/s11856-020-1991-2
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich C; Lizama C, 2020, 'Positivity, monotonicity, and convexity for convolution operators', Discrete and Continuous Dynamical Systems- Series A, vol. 40, pp. 4961 - 4983, http://dx.doi.org/10.3934/dcds.2020207
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich C; Lizama C, 2020, 'Existence and monotonicity of nonlocal boundary value problems: The one-dimensional case', Proceedings of the Royal Society of Edinburgh Section A: Mathematics, http://dx.doi.org/10.1017/prm.2020.90
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich CS; Ragusa MA; Scapellato A, 2020, 'Partial regularity of solutions to p(x)-Laplacian PDEs with discontinuous coefficients', Journal of Differential Equations, vol. 268, pp. 5440 - 5468, http://dx.doi.org/10.1016/j.jde.2019.11.026
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich CS; Lyons B, 2020, 'Nonlocal difference equations with sign-changing coefficients', Applied Mathematics Letters, vol. 106, http://dx.doi.org/10.1016/j.aml.2020.106371
    Journal articles | 2020
    Dr Chris Goodrich
    Goodrich CS; Lyons B, 2020, 'Positivity and monotonicity results for triple sequential fractional differences via convolution', Analysis (Germany), vol. 40, pp. 89 - 103, http://dx.doi.org/10.1515/anly-2019-0050
    Journal articles | 2019
    Dr Chris Goodrich
    Goodrich CS, 2019, 'Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems', Topological Methods in Nonlinear Analysis, vol. 54, pp. 409 - 426, http://dx.doi.org/10.12775/TMNA.2019.029
    Journal articles | 2019
    Dr Chris Goodrich
    Anceschi F; Goodrich CS; Scapellato A, 2019, 'Operators with gaussian kernel bounds on mixed morrey spaces', Filomat, vol. 33, pp. 5219 - 5230, http://dx.doi.org/10.2298/FIL1916219A
    Journal articles | 2019
    Dr Chris Goodrich
    Goodrich CS, 2019, 'Sharp monotonicity results for fractional nabla sequential differences', Journal of Difference Equations and Applications, vol. 25, pp. 801 - 814, http://dx.doi.org/10.1080/10236198.2018.1542431
    Journal articles | 2019
    Dr Chris Goodrich
    Goodrich CS; Muellner M, 2019, 'An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators', Applied Mathematics Letters, vol. 98, pp. 446 - 452, http://dx.doi.org/10.1016/j.aml.2019.07.003
    Journal articles | 2019
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2019, 'A uniformly sharp convexity result for discrete fractional sequential differences', Rocky Mountain Journal of Mathematics, vol. 49, pp. 2571 - 2586, http://dx.doi.org/10.1216/RMJ-2019-49-8-2571
    Journal articles | 2019
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2019, 'An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing', Journal of Difference Equations and Applications, http://dx.doi.org/10.1080/10236198.2019.1639684
    Journal articles | 2019
    Dr Chris Goodrich
    Xu J; Goodrich CS; Cui Y, 2019, 'Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities', Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, vol. 113, pp. 1343 - 1358, http://dx.doi.org/10.1007/s13398-018-0551-7
    Journal articles | 2019
    Dr Chris Goodrich
    Goodrich CS; Ragusa MA, 2019, 'Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficients', Nonlinear Analysis, Theory, Methods and Applications, vol. 185, pp. 336 - 355, http://dx.doi.org/10.1016/j.na.2019.03.015
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'Radially symmetric solutions of elliptic PDEs with uniformly negative weight', Annali di Matematica Pura ed Applicata, vol. 197, pp. 1585 - 1611, http://dx.doi.org/10.1007/s10231-018-0738-8
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function', Journal of Differential Equations, vol. 264, pp. 236 - 262, http://dx.doi.org/10.1016/j.jde.2017.09.011
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'A uniformly sharp monotonicity result for discrete fractional sequential differences', Archiv der Mathematik, vol. 110, pp. 145 - 154, http://dx.doi.org/10.1007/s00013-017-1106-4
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems', Communications in Partial Differential Equations, vol. 43, pp. 1599 - 1626, http://dx.doi.org/10.1080/03605302.2018.1517794
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order', Positivity, vol. 22, pp. 551 - 573, http://dx.doi.org/10.1007/s11117-017-0527-4
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'Perturbed Integral Operator Equations of Volterra Type with Applications to p -Laplacian Equations', Mediterranean Journal of Mathematics, vol. 15, http://dx.doi.org/10.1007/s00009-018-1090-3
    Journal articles | 2018
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2018, 'Mixed order monotonicity results for sequential fractional nabla differences', Journal of Difference Equations and Applications, http://dx.doi.org/10.1080/10236198.2018.1561883
    Journal articles | 2018
    Dr Chris Goodrich
    Goodrich CS, 2018, 'A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer', Calculus of Variations and Partial Differential Equations, vol. 57, http://dx.doi.org/10.1007/s00526-018-1422-y
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'Coercive nonlocal elements in fractional differential equations', Positivity, vol. 21, pp. 377 - 394, http://dx.doi.org/10.1007/s11117-016-0427-z
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems', Journal of Fixed Point Theory and Applications, vol. 19, pp. 2629 - 2646, http://dx.doi.org/10.1007/s11784-017-0448-7
    Journal articles | 2017
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2017, 'An almost sharp monotonicity result for discrete sequential fractional delta differences', Journal of Difference Equations and Applications, vol. 23, pp. 1190 - 1203, http://dx.doi.org/10.1080/10236198.2017.1307351
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions', Journal of Differential Equations, vol. 263, pp. 4400 - 4428, http://dx.doi.org/10.1016/j.jde.2017.05.017
    Journal articles | 2017
    Dr Chris Goodrich
    Erbe L; Goodrich CS; Jia B; Peterson A, 2017, 'Monotonicity results for delta fractional differences revisited', Mathematica Slovaca, vol. 67, pp. 895 - 906, http://dx.doi.org/10.1515/ms-2017-0018
    Journal articles | 2017
    Dr Chris Goodrich
    Baoguo J; Erbe L; Goodrich C; Peterson A, 2017, 'The relation between nabla fractional differences and Nabla integer differences', Filomat, vol. 31, pp. 1741 - 1753, http://dx.doi.org/10.2298/FIL1706741B
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'A sharp convexity result for sequential fractional delta differences', Journal of Difference Equations and Applications, vol. 23, pp. 1986 - 2003, http://dx.doi.org/10.1080/10236198.2017.1380635
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'On Semipositone Non-Local Boundary-Value Problems with Nonlinear or Affine Boundary Conditions', Proceedings of the Edinburgh Mathematical Society, vol. 60, pp. 635 - 649, http://dx.doi.org/10.1017/S0013091516000146
    Journal articles | 2017
    Dr Chris Goodrich
    Dahal R; Drvol S; Goodrich CS, 2017, 'New monotonicity conditions in discrete fractional calculus with applications to extremality conditions', Analysis (Germany), vol. 37, pp. 145 - 156, http://dx.doi.org/10.1515/anly-2016-0039
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs', Journal of Fixed Point Theory and Applications, vol. 19, pp. 1905 - 1938, http://dx.doi.org/10.1007/s11784-016-0340-x
    Journal articles | 2017
    Dr Chris Goodrich
    Goodrich CS, 2017, 'Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions', Applied Mathematics Letters, vol. 67, pp. 7 - 15, http://dx.doi.org/10.1016/j.aml.2016.11.011
    Journal articles | 2016
    Dr Chris Goodrich
    Erbe L; Goodrich CS; Jia B; Peterson A, 2016, 'Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions', Advances in Difference Equations, vol. 2016, pp. 1 - 31, http://dx.doi.org/10.1186/s13662-016-0760-3
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference', Mathematical Inequalities and Applications, vol. 19, pp. 769 - 779, http://dx.doi.org/10.7153/mia-19-57
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'Summation equations with sign changing kernels and applications to discrete fractional boundary value problems', Commentationes Mathematicae Universitatis Carolinae, vol. 57, pp. 201 - 229, http://dx.doi.org/10.14712/1213-7243.2015.164
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'The relationship between sequential fractional differences and convexity', Applicable Analysis and Discrete Mathematics, vol. 10, pp. 345 - 365, http://dx.doi.org/10.2298/AADM161005025G
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'Perturbed hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic pdes', Journal of Integral Equations and Applications, vol. 28, pp. 509 - 549, http://dx.doi.org/10.1216/JIE-2016-28-4-509
    Journal articles | 2016
    Dr Chris Goodrich
    Foss MD; Goodrich CS, 2016, 'On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds', Annali di Matematica Pura ed Applicata, vol. 195, pp. 1405 - 1461, http://dx.doi.org/10.1007/s10231-015-0521-z
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs', Journal of Difference Equations and Applications, vol. 22, pp. 623 - 636, http://dx.doi.org/10.1080/10236198.2015.1125896
    Journal articles | 2016
    Dr Chris Goodrich
    Goodrich CS, 2016, 'A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems', Analysis (Germany), vol. 36, pp. 183 - 193, http://dx.doi.org/10.1515/anly-2015-0030
    Journal articles | 2015
    Dr Chris Goodrich
    Goodrich CS, 2015, 'Coupled systems of boundary value problems with nonlocal boundary conditions', Applied Mathematics Letters, vol. 41, pp. 17 - 22, http://dx.doi.org/10.1016/j.aml.2014.10.010
    Journal articles | 2015
    Dr Chris Goodrich
    Ferreira RAC; Goodrich CS, 2015, 'On positive solutions to fractional difference inclusions', Analysis, vol. 35, pp. 73 - 83, http://dx.doi.org/10.1515/anly-2012-1281
    Journal articles | 2015
    Dr Chris Goodrich
    Goodrich CS, 2015, 'Partial Hölder continuity of minimizers of functionals satisfying a VMO condition', Advances in Calculus of Variations, vol. 2015, http://dx.doi.org/10.1515/acv-2015-0013
    Journal articles | 2015
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2015, 'Erratum to: A monotonicity result for discrete fractional difference operators[Arch. Math.(2014), 102, 293-299, DOI 10.1007/s00013-014-0620-x]', Archiv der Mathematik, vol. 104, pp. 599 - 600, http://dx.doi.org/10.1007/s00013-015-0771-4
    Journal articles | 2015
    Dr Chris Goodrich
    Goodrich CS, 2015, 'Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions', Journal of Difference Equations and Applications, vol. 21, pp. 437 - 453, http://dx.doi.org/10.1080/10236198.2015.1013537
    Journal articles | 2015
    Dr Chris Goodrich
    Goodrich CS, 2015, 'Semipositone boundary value problems with nonlocal, nonlinear boundary conditions', Advances in Differential Equations, vol. 20, pp. 117 - 142
    Journal articles | 2015
    Dr Chris Goodrich
    Foss M; Goodrich CS, 2015, 'Partial hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition', Journal of Convex Analysis, vol. 22, pp. 219 - 246
    Journal articles | 2014
    Dr Chris Goodrich
    Goodrich CS, 2014, 'On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals', Proceedings of the Edinburgh Mathematical Society, vol. 58, pp. 421 - 439, http://dx.doi.org/10.1017/S0013091514000108
    Journal articles | 2014
    Dr Chris Goodrich
    Dahal R; Goodrich CS, 2014, 'A monotonicity result for discrete fractional difference operators', Archiv der Mathematik, vol. 102, pp. 293 - 299, http://dx.doi.org/10.1007/s00013-014-0620-x
    Journal articles | 2014
    Dr Chris Goodrich
    Goodrich CS, 2014, 'A convexity result for fractional differences', Applied Mathematics Letters, vol. 35, pp. 58 - 62, http://dx.doi.org/10.1016/j.aml.2014.04.013
    Journal articles | 2014
    Dr Chris Goodrich
    Dahal R; Duncan D; Goodrich CS, 2014, 'Systems of semipositone discrete fractional boundary value problems', Journal of Difference Equations and Applications, vol. 20, pp. 473 - 491, http://dx.doi.org/10.1080/10236198.2013.856073
    Journal articles | 2014
    Dr Chris Goodrich
    Goodrich CS, 2014, 'A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions', Archiv der Mathematik, vol. 103, pp. 177 - 187, http://dx.doi.org/10.1007/s00013-014-0678-5
    Journal articles | 2014
    Dr Chris Goodrich
    Goodrich CS, 2014, 'On a first-order semipositone boundary value problem on a time scale', Applicable Analysis and Discrete Mathematics, vol. 8, pp. 269 - 287, http://dx.doi.org/10.2298/AADM140812013G
    Journal articles | 2013
    Dr Chris Goodrich
    Goodrich CS, 2013, 'On nonlinear boundary conditions satisfying certain asymptotic behavior', Nonlinear Analysis, Theory, Methods and Applications, vol. 76, pp. 58 - 67, http://dx.doi.org/10.1016/j.na.2012.07.023
    Journal articles | 2013
    Dr Chris Goodrich
    Goodrich CS, 2013, 'On a Nonlocal BVP with Nonlinear Boundary Conditions', Results in Mathematics, vol. 63, pp. 1351 - 1364, http://dx.doi.org/10.1007/s00025-012-0272-8
    Journal articles | 2013
    Dr Chris Goodrich
    Goodrich CS, 2013, 'Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions', Applied Mathematics and Computation, vol. 219, pp. 11071 - 11081, http://dx.doi.org/10.1016/j.amc.2013.05.022
    Journal articles | 2013
    Dr Chris Goodrich
    Goodrich CS, 2013, 'On semipositone discrete fractional boundary value problems with non-local boundary conditions', Journal of Difference Equations and Applications, vol. 19, pp. 1758 - 1780, http://dx.doi.org/10.1080/10236198.2013.775259
    Journal articles | 2013
    Dr Chris Goodrich
    Goodrich CS, 2013, 'Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale', Commentationes Mathematicae Universitatis Carolinae, vol. 54, pp. 509 - 525
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On discrete sequential fractional boundary value problems', Journal of Mathematical Analysis and Applications, vol. 385, pp. 111 - 124, http://dx.doi.org/10.1016/j.jmaa.2011.06.022
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'Nonlocal systems of bvps with asymptotically sublinear boundary conditions', Applicable Analysis and Discrete Mathematics, vol. 6, pp. 174 - 193, http://dx.doi.org/10.2298/AADM120329010G
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'The existence of a positive solution to a second-order deltanabla p-Laplacian BVP on a time scale', Applied Mathematics Letters, vol. 25, pp. 157 - 162, http://dx.doi.org/10.1016/j.aml.2011.08.005
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'Positive solutions to boundary value problems with nonlinear boundary conditions', Nonlinear Analysis, Theory, Methods and Applications, vol. 75, pp. 417 - 432, http://dx.doi.org/10.1016/j.na.2011.08.044
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth', Mathematische Nachrichten, vol. 285, pp. 1404 - 1421, http://dx.doi.org/10.1002/mana.201100210
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On a discrete fractional three-point boundary value problem', Journal of Difference Equations and Applications, vol. 18, pp. 397 - 415, http://dx.doi.org/10.1080/10236198.2010.503240
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On a first-order semipositone discrete fractional boundary value problem', Archiv der Mathematik, vol. 99, pp. 509 - 518, http://dx.doi.org/10.1007/s00013-012-0463-2
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On a fractional boundary value problem with fractional boundary conditions', Applied Mathematics Letters, vol. 25, pp. 1101 - 1105, http://dx.doi.org/10.1016/j.aml.2011.11.028
    Journal articles | 2012
    Dr Chris Goodrich
    Ferreira RAC; Goodrich CS, 2012, 'Positive solution for a discrete fractional periodic boundary value problem', Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 19, pp. 545 - 557
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions', Communications in Applied Analysis, vol. 16, pp. 459 - 470
    Journal articles | 2012
    Dr Chris Goodrich
    Goodrich CS, 2012, 'Nonlocal systems of BVPs with asymptotically superlinear boundary conditions', Commentationes Mathematicae Universitatis Carolinae, vol. 53, pp. 79 - 97
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions', Computers and Mathematics with Applications, vol. 61, pp. 191 - 202, http://dx.doi.org/10.1016/j.camwa.2010.10.041
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'Existence of a positive solution to systems of differential equations of fractional order', Computers and Mathematics with Applications, vol. 62, pp. 1251 - 1268, http://dx.doi.org/10.1016/j.camwa.2011.02.039
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'Existence of a positive solution to a system of discrete fractional boundary value problems', Applied Mathematics and Computation, vol. 217, pp. 4740 - 4753, http://dx.doi.org/10.1016/j.amc.2010.11.029
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'Existence of a positive solution to a first-order p-Laplacian BVP on a time scale', Nonlinear Analysis, Theory, Methods and Applications, vol. 74, pp. 1926 - 1936, http://dx.doi.org/10.1016/j.na.2010.10.062
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'Some new existence results for fractional difference equations', International Journal of Dynamical Systems and Differential Equations, vol. 3, pp. 145 - 162, http://dx.doi.org/10.1504/IJDSDE.2011.038499
    Journal articles | 2011
    Dr Chris Goodrich
    Goodrich CS, 2011, 'On positive solutions to nonlocal fractional and integer-order difference equations', Applicable Analysis and Discrete Mathematics, vol. 5, pp. 122 - 132, http://dx.doi.org/10.2298/AADM110111001G
    Journal articles | 2010
    Dr Chris Goodrich
    Goodrich CS, 2010, 'Continuity of solutions to discrete fractional initial value problems', Computers and Mathematics with Applications, vol. 59, pp. 3489 - 3499, http://dx.doi.org/10.1016/j.camwa.2010.03.040
    Journal articles | 2010
    Dr Chris Goodrich
    Goodrich CS, 2010, 'Existence of a positive solution to a class of fractional differential equations', Applied Mathematics Letters, vol. 23, pp. 1050 - 1055, http://dx.doi.org/10.1016/j.aml.2010.04.035
    Journal articles | 2007
    Dr Chris Goodrich
    Goodrich CS; Matache MT, 2007, 'The stabilizing effect of noise on the dynamics of a Boolean network', Physica A: Statistical Mechanics and its Applications, vol. 379, pp. 334 - 356, http://dx.doi.org/10.1016/j.physa.2006.12.043

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