By Dr Chris Goodrich

Journal articles

Chen T; Goodrich CS, 2025, 'Global structure of multiple positive solutions for the kth mean curvature in Minkowski space', Journal of Fixed Point Theory and Applications, 27, http://dx.doi.org/10.1007/s11784-025-01201-7

Goodrich CS, 2025, 'A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations', Advanced Nonlinear Studies, http://dx.doi.org/10.1515/ans-2023-0185

Goodrich CS, 2025, 'p(x)-GROWTH IN NONLOCAL DIFFERENTIAL EQUATIONS WITH CONVOLUTION COEFFICIENTS', Advances in Differential Equations, 30, pp. 115 - 140, http://dx.doi.org/10.57262/ade030-0304-115

Goodrich CS, 2024, 'A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations', Advanced Nonlinear Studies, 24, pp. 805 - 818, http://dx.doi.org/10.1515/ans-2023-0137

Goodrich C; Lizama C, 2024, 'An unexpected property of fractional difference operators: Finite and eventual monotonicity', Mathematical Methods in the Applied Sciences, 47, pp. 5484 - 5508, http://dx.doi.org/10.1002/mma.9875

Goodrich CS, 2024, 'An application of Sobolev's inequality to one-dimensional Kirchhoff equations', Journal of Differential Equations, 385, pp. 463 - 486, http://dx.doi.org/10.1016/j.jde.2023.12.035

Goodrich CS, 2024, 'A unified characterization of convolution coefficients in nonlocal differential equations', Proceedings of the Royal Society of Edinburgh Section A Mathematics, http://dx.doi.org/10.1017/prm.2024.77

Goodrich CS, 2024, 'NONEXISTENCE OF NONTRIVIAL SOLUTIONS TO KIRCHHOFF-LIKE EQUATIONS', Proceedings of the American Mathematical Society Series B, 11, pp. 304 - 314, http://dx.doi.org/10.1090/bproc/224

Goodrich CS, 2023, 'Convolution equations with variable time nonlocal coefficients', Applied Mathematics Letters, 145, http://dx.doi.org/10.1016/j.aml.2023.108756

Goodrich CS, 2023, 'Nonlocal differential equations with (p,q) growth', Bulletin of the London Mathematical Society, 55, pp. 1373 - 1391, http://dx.doi.org/10.1112/blms.12798

Ali MA; Goodrich CS, 2023, 'On some new inequalities of Hermite-Hadamard-Mercer midpoint and trapezoidal type in q-calculus', Analysis Germany, http://dx.doi.org/10.1515/anly-2023-0019

Mohammed PO; Goodrich CS; Srivastava HM; Al-Sarairah E; Hamed YS, 2023, 'A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family', Axioms, 12, http://dx.doi.org/10.3390/axioms12020114

Goodrich CS, 2023, 'Nonlocal differential equations with convex convolution coefficients', Journal of Fixed Point Theory and Applications, 25, http://dx.doi.org/10.1007/s11784-022-01008-w

Mohammed PO; Dahal R; Goodrich CS; Hamed YS; Baleanu D, 2023, 'Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel', Aims Mathematics, 8, pp. 5540 - 5550, http://dx.doi.org/10.3934/math.2023279

Ali MA; Goodrich CS; Budak H, 2023, 'Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals', Journal of Inequalities and Applications, 2023, http://dx.doi.org/10.1186/s13660-023-02953-x

Goodrich C; Scilla G; Stroffolini B, 2022, 'Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth', Proceedings of the Royal Society of Edinburgh Section A Mathematics, 152, pp. 1191 - 1232, http://dx.doi.org/10.1017/prm.2021.53

Mohammed PO; Goodrich CS; Hamasalh FK; Kashuri A; Hamed YS, 2022, 'On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel', Mathematical Methods in the Applied Sciences, 45, pp. 6391 - 6410, http://dx.doi.org/10.1002/mma.8176

Goodrich C; Lizama C, 2022, 'Existence and monotonicity of nonlocal boundary value problems: The one-dimensional case', Proceedings of the Royal Society of Edinburgh Section A Mathematics, 152, pp. 1 - 27, http://dx.doi.org/10.1017/prm.2020.90

Goodrich CS, 2022, 'An analysis of nonlocal difference equations with finite convolution coefficients', Journal of Fixed Point Theory and Applications, 24, http://dx.doi.org/10.1007/s11784-021-00914-9

Goodrich CS; Scapellato A, 2022, 'Partial regularity of minimizers of asymptotically convex functionals with p(x)-growth', STUDIA MATHEMATICA, http://dx.doi.org/10.4064/sm210104

Mohammed PO; Goodrich CS; Brzo AB; Baleanu D; Hamed YS, 2022, 'New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel', Mathematical Biosciences and Engineering, 19, pp. 4062 - 4074, http://dx.doi.org/10.3934/mbe.2022186

Goodrich CS, 2022, 'NONEXISTENCE AND PARAMETER RANGE ESTIMATES FOR CONVOLUTION DIFFERENTIAL EQUATIONS', Proceedings of the American Mathematical Society Series B, 9, pp. 254 - 265, http://dx.doi.org/10.1090/bproc/130

Goodrich CS; Scapellato A, 2022, 'Partial regularity of minimizers of asymptotically convex functionals with p(x)-growth', Studia Mathematica, 264, pp. 71 - 102, http://dx.doi.org/10.4064/sm210104-20-9

Dahal R; GOODRICH CS, 2021, 'ANALYSIS OF CONVEXITY RESULTS FOR DISCRETE FRACTIONAL NABLA OPERATORS', Rocky Mountain Journal of Mathematics, 51, pp. 1981 - 2001, http://dx.doi.org/10.1216/rmj.2021.51.1981

Goodrich CS, 2021, 'A one-dimensional Kirchhoff equation with generalized convolution coefficients', Journal of Fixed Point Theory and Applications, 23, http://dx.doi.org/10.1007/s11784-021-00910-z

Goodrich CS; Jonnalagadda JM, 2021, 'Monotonicity results for CFC nabla fractional differences with negative lower bound', Analysis Germany, 41, pp. 221 - 229, http://dx.doi.org/10.1515/anly-2021-0011

Goodrich CS, 2021, 'Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus', Advanced Nonlinear Studies, 21, pp. 767 - 787, http://dx.doi.org/10.1515/ans-2021-2145

Goodrich CS, 2021, 'Nonlocal differential equations with concave coefficients of convolution type', Nonlinear Analysis Theory Methods and Applications, 211, http://dx.doi.org/10.1016/j.na.2021.112437

Goodrich CS, 2021, 'Differential equations with multiple sign changing convolution coefficients', International Journal of Mathematics, 32, http://dx.doi.org/10.1142/S0129167X21500579

Dahal R; Goodrich CS, 2021, 'Theoretical and numerical analysis of monotonicity results for fractional difference operators', Applied Mathematics Letters, 117, http://dx.doi.org/10.1016/j.aml.2021.107104

Goodrich CS, 2021, 'Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients', Journal of Mathematical Analysis and Applications, 498, http://dx.doi.org/10.1016/j.jmaa.2021.124962

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, 44, pp. 7099 - 7120, http://dx.doi.org/10.1002/mma.7247

Goodrich CS, 2021, 'Topological analysis of doubly nonlocal boundary value problems', Journal of Fixed Point Theory and Applications, 23, http://dx.doi.org/10.1007/s11784-021-00865-1

Goodrich CS, 2021, 'A topological approach to nonlocal elliptic partial differential equations on an annulus', Mathematische Nachrichten, 294, pp. 286 - 309, http://dx.doi.org/10.1002/mana.201900204

Goodrich CS, 2021, 'A TOPOLOGICAL APPROACH TO A CLASS OF ONE-DIMENSIONAL KIRCHHOFF EQUATIONS', Proceedings of the American Mathematical Society Series B, 8, pp. 158 - 172, http://dx.doi.org/10.1090/bproc/84

Goodrich CS; Jonnalagadda JM, 2021, 'An analysis of polynomial sequences and their application to discrete fractional operators', Journal of Difference Equations and Applications, 27, pp. 1081 - 1102, http://dx.doi.org/10.1080/10236198.2021.1965132

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, 27, pp. 317 - 341, http://dx.doi.org/10.1080/10236198.2021.1894142

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, 20, pp. 339 - 358, http://dx.doi.org/10.3934/cpaa.2020269

Goodrich CS, 2021, 'Discrete Kirchhoff equations with sign-changing coefficients', Journal of Difference Equations and Applications, 27, pp. 664 - 685, http://dx.doi.org/10.1080/10236198.2021.1929945

Dahal R; Goodrich CS; Lyons B, 2021, 'Monotonicity results for sequential fractional differences of mixed orders with negative lower bound', Journal of Difference Equations and Applications, 27, pp. 1574 - 1593, http://dx.doi.org/10.1080/10236198.2021.1999434

Goodrich CS; Lyons B, 2020, 'Nonlocal difference equations with sign-changing coefficients', Applied Mathematics Letters, 106, http://dx.doi.org/10.1016/j.aml.2020.106371

Goodrich C; Lizama C, 2020, 'Positivity, monotonicity, and convexity for convolution operators', Discrete and Continuous Dynamical Systems Series A, 40, pp. 4961 - 4983, http://dx.doi.org/10.3934/dcds.2020207

Goodrich CS; Lyons B, 2020, 'Positivity and monotonicity results for triple sequential fractional differences via convolution', Analysis Germany, 40, pp. 89 - 103, http://dx.doi.org/10.1515/anly-2019-0050

Goodrich CS; Ragusa MA; Scapellato A, 2020, 'Partial regularity of solutions to p(x)-Laplacian PDEs with discontinuous coefficients', Journal of Differential Equations, 268, pp. 5440 - 5468, http://dx.doi.org/10.1016/j.jde.2019.11.026

Goodrich C; Lizama C, 2020, 'A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity', Israel Journal of Mathematics, 236, pp. 533 - 589, http://dx.doi.org/10.1007/s11856-020-1991-2

Goodrich CS, 2020, 'Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements', Banach Journal of Mathematical Analysis, 14, pp. 290 - 312, http://dx.doi.org/10.1007/s43037-019-00017-1

Goodrich CS; Muellner M, 2019, 'An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators', Applied Mathematics Letters, 98, pp. 446 - 452, http://dx.doi.org/10.1016/j.aml.2019.07.003

Goodrich CS, 2019, 'Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems', Topological Methods in Nonlinear Analysis, 54, pp. 409 - 426, http://dx.doi.org/10.12775/TMNA.2019.029

Goodrich CS; Ragusa MA, 2019, 'Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficients', Nonlinear Analysis Theory Methods and Applications, 185, pp. 336 - 355, http://dx.doi.org/10.1016/j.na.2019.03.015

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, 113, pp. 1343 - 1358, http://dx.doi.org/10.1007/s13398-018-0551-7

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