## Goodrich, Christopher S.

Compute Distance To:
 Author ID: goodrich.christopher-s Published as: Goodrich, Christopher S.; Goodrich, Christopher; Goodrich, C. S. External Links: MGP
 Documents Indexed: 100 Publications since 2010, including 1 Book Reviewing Activity: 81 Reviews Co-Authors: 23 Co-Authors with 36 Joint Publications 1,194 Co-Co-Authors
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### Co-Authors

 64 single-authored 11 Dahal, Rajendra 6 Lyons, Benjamin 5 Peterson, Allan C. 3 Erbe, Lynn Harry 3 Jonnalagadda, Jagan M. 3 Lizama, Carlos 3 Scapellato, Andrea 2 Ferreira, Rui A. C. 2 Foss, Mikil D. 2 Jia, Baoguo 2 Ragusa, Maria Alessandra 2 Velcsov, Mihaela T. 1 Anderson, Douglas Robert 1 Băleanu, Dumitru I. 1 Baoguo, Jia 1 Brzo, Aram Bahroz 1 Cui, Yujun 1 Drvol, Stanley 1 Eloe, Paul W. 1 Hamed, Yasser S. 1 Mohammed, Pshtiwan Othman 1 Muellner, Matthew 1 Xu, Jiafa
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### Serials

 14 Journal of Difference Equations and Applications 9 Applied Mathematics Letters 5 Archiv der Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Analysis (München) 5 Journal of Fixed Point Theory and Applications 4 Applicable Analysis and Discrete Mathematics 3 Computers & Mathematics with Applications 3 Commentationes Mathematicae Universitatis Carolinae 3 Journal of Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Positivity 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Results in Mathematics 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Dynamic Systems and Applications 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Filomat 1 Journal of Convex Analysis 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Mathematical Inequalities & Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 International Journal of Difference Equations 1 Banach Journal of Mathematical Analysis 1 Advances in Calculus of Variations 1 International Journal of Dynamical Systems and Differential Equations 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Proceedings of the American Mathematical Society. Series B
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### Fields

 52 Real functions (26-XX) 50 Difference and functional equations (39-XX) 40 Ordinary differential equations (34-XX) 39 Operator theory (47-XX) 14 Partial differential equations (35-XX) 12 Integral equations (45-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Integral transforms, operational calculus (44-XX) 6 Numerical analysis (65-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,801 times in 638 Documents Cited by Year
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
2015
Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007
Goodrich, Christopher S.
2010
Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002
Goodrich, Christopher S.
2011
On discrete sequential fractional boundary value problems. Zbl 1236.39008
Goodrich, Christopher S.
2012
Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012
Goodrich, Christopher S.
2011
Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003
Goodrich, Christopher S.
2011
Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002
Goodrich, Christopher S.
2010
On a discrete fractional three-point boundary value problem. Zbl 1253.26010
Goodrich, Christopher S.
2012
Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153
Goodrich, Christopher S.
2012
A monotonicity result for discrete fractional difference operators. Zbl 1296.39016
Dahal, Rajendra; Goodrich, Christopher S.
2014
A convexity result for fractional differences. Zbl 1314.26010
Goodrich, Christopher S.
2014
Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002
Dahal, Rajendra; Duncan, David; Goodrich, Christopher S.
2014
On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030
Goodrich, Christopher S.
2013
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
2020
On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006
Goodrich, Christopher S.
2012
On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016
Goodrich, Christopher S.
2012
On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008
Goodrich, Christopher S.
2013
On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032
Goodrich, C. S.
2012
Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017
Goodrich, Christopher S.
2017
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
2016
On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038
Goodrich, Christopher S.
2015
New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097
Goodrich, Christopher S.
2018
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054
Goodrich, Christopher S.
2012
Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144
Goodrich, Christopher S.
2018
Monotonicity results for delta fractional differences revisited. Zbl 06760211
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
2017
On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008
Goodrich, Christopher
2011
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
2020
Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001
Goodrich, Christopher S.
2015
An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003
Dahal, Rajendra; Goodrich, Christopher S.
2017
Existence of a positive solution to a first-order $$p$$-Laplacian BVP on a time scale. Zbl 1236.34112
Goodrich, Christopher S.
2011
A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011
Goodrich, Christopher S.
2016
Some new existence results for fractional difference equations. Zbl 1215.39004
Goodrich, Christopher S.
2011
Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065
Goodrich, Christopher S.
2012
The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015
Goodrich, Christopher S.
2017
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034
Goodrich, Christopher S.
2015
Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030
Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun
2019
On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029
Goodrich, Christopher S.
2013
Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010
Ferreira, Rui A. C.; Goodrich, Christopher S.
2012
A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011
Goodrich, Christopher S.
2018
Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046
Foss, Mikil; Goodrich, Christopher S.
2015
The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041
Goodrich, Christopher S.
2016
A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016
Goodrich, Christopher S.
2017
A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012
Goodrich, Christopher S.
2017
Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050
Goodrich, Christopher S.
2015
The existence of a positive solution to a second-order delta-nabla $$p$$-Laplacian BVP on a time scale. Zbl 1235.34241
Goodrich, Christopher S.
2012
On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034
Foss, Mikil D.; Goodrich, Christopher S.
2016
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
2017
Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009
Goodrich, Christopher S.
2016
Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062
Goodrich, Christopher S.
2018
Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006
Goodrich, Christopher S.
2016
An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036
Goodrich, Christopher S.; Muellner, Matthew
2019
A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029
Goodrich, Christopher S.
2014
Hölder continuity of weak solutions of $$p$$-Laplacian PDEs with VMO coefficients. Zbl 1418.35058
Goodrich, Christopher S.; Ragusa, M. Alessandra
2019
Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022
Goodrich, Christopher S.
2019
Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029
Goodrich, Christopher S.
2017
Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003
Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T.
2021
Partial regularity of solutions to $$p(x)$$-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206
Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea
2020
Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006
Dahal, Rajendra; Goodrich, Christopher S.
2019
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
2017
A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008
Dahal, Rajendra; Goodrich, Christopher S.
2019
On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039
Goodrich, Christopher S.
2017
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
2015
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293
Goodrich, Christopher S.
2013
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009
Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin
2021
The relation between nabla fractional differences and nabla integer differences. Zbl 07389825
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
2017
Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001
Goodrich, Christopher S.
2016
An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035
Goodrich, Christopher S.
2014
Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049
Goodrich, Christopher S.
2013
Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 07041356
Goodrich, Christopher S.
2018
Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005
Goodrich, Christopher S.
2017
A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032
Goodrich, Christopher S.
2018
Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005
Goodrich, Christopher S.
2019
Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219
Dahal, Rajendra; Goodrich, Christopher S.
2021
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 07355111
Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T.
2021
Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022
Dahal, Rajendra; Goodrich, Christopher S.
2015
Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 07153996
Goodrich, Christopher S.
2020
Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006
Goodrich, Christopher S.; Lyons, Benjamin
2020
A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044
Goodrich, Christopher S.
2021
Nonlocal differential equations with concave coefficients of convolution type. Zbl 07379238
Goodrich, Christopher S.
2021
A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006
Goodrich, Christopher S.
2016
Perturbed integral operator equations of Volterra type with applications to $$p$$-Laplacian equations. Zbl 1391.45003
Goodrich, Christopher S.
2018
An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018
Dahal, Rajendra; Goodrich, Christopher S.
2019
Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003
Goodrich, Christopher S.; Lyons, Benjamin
2020
Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016
Goodrich, Christopher S.
2021
Differential equations with multiple sign changing convolution coefficients. Zbl 07382989
Goodrich, Christopher S.
2021
An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 07423075
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
2021
On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1273.26010
Goodrich, Christopher S.
2012
Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 07420199
Goodrich, Christopher S.
2021
Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 07449480
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
2021
Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003
Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T.
2021
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009
Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin
2021
Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219
Dahal, Rajendra; Goodrich, Christopher S.
2021
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 07355111
Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T.
2021
A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044
Goodrich, Christopher S.
2021
Nonlocal differential equations with concave coefficients of convolution type. Zbl 07379238
Goodrich, Christopher S.
2021
Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016
Goodrich, Christopher S.
2021
Differential equations with multiple sign changing convolution coefficients. Zbl 07382989
Goodrich, Christopher S.
2021
An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 07423075
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
2021
Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 07420199
Goodrich, Christopher S.
2021
Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 07449480
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
2021
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
2020
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
2020
Partial regularity of solutions to $$p(x)$$-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206
Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea
2020
Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 07153996
Goodrich, Christopher S.
2020
Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006
Goodrich, Christopher S.; Lyons, Benjamin
2020
Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003
Goodrich, Christopher S.; Lyons, Benjamin
2020
Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030
Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun
2019
An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036
Goodrich, Christopher S.; Muellner, Matthew
2019
Hölder continuity of weak solutions of $$p$$-Laplacian PDEs with VMO coefficients. Zbl 1418.35058
Goodrich, Christopher S.; Ragusa, M. Alessandra
2019
Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022
Goodrich, Christopher S.
2019
Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006
Dahal, Rajendra; Goodrich, Christopher S.
2019
A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008
Dahal, Rajendra; Goodrich, Christopher S.
2019
Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005
Goodrich, Christopher S.
2019
An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018
Dahal, Rajendra; Goodrich, Christopher S.
2019
New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097
Goodrich, Christopher S.
2018
Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144
Goodrich, Christopher S.
2018
A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011
Goodrich, Christopher S.
2018
Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062
Goodrich, Christopher S.
2018
Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 07041356
Goodrich, Christopher S.
2018
A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032
Goodrich, Christopher S.
2018
Perturbed integral operator equations of Volterra type with applications to $$p$$-Laplacian equations. Zbl 1391.45003
Goodrich, Christopher S.
2018
Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017
Goodrich, Christopher S.
2017
Monotonicity results for delta fractional differences revisited. Zbl 06760211
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
2017
An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003
Dahal, Rajendra; Goodrich, Christopher S.
2017
The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015
Goodrich, Christopher S.
2017
A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016
Goodrich, Christopher S.
2017
A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012
Goodrich, Christopher S.
2017
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
2017
Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029
Goodrich, Christopher S.
2017
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
2017
On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039
Goodrich, Christopher S.
2017
The relation between nabla fractional differences and nabla integer differences. Zbl 07389825
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
2017
Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005
Goodrich, Christopher S.
2017
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
2016
A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011
Goodrich, Christopher S.
2016
The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041
Goodrich, Christopher S.
2016
On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034
Foss, Mikil D.; Goodrich, Christopher S.
2016
Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009
Goodrich, Christopher S.
2016
Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006
Goodrich, Christopher S.
2016
Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001
Goodrich, Christopher S.
2016
A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006
Goodrich, Christopher S.
2016
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
2015
On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038
Goodrich, Christopher S.
2015
Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001
Goodrich, Christopher S.
2015
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034
Goodrich, Christopher S.
2015
Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046
Foss, Mikil; Goodrich, Christopher S.
2015
Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050
Goodrich, Christopher S.
2015
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
2015
Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022
Dahal, Rajendra; Goodrich, Christopher S.
2015
A monotonicity result for discrete fractional difference operators. Zbl 1296.39016
Dahal, Rajendra; Goodrich, Christopher S.
2014
A convexity result for fractional differences. Zbl 1314.26010
Goodrich, Christopher S.
2014
Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002
Dahal, Rajendra; Duncan, David; Goodrich, Christopher S.
2014
A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029
Goodrich, Christopher S.
2014
An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035
Goodrich, Christopher S.
2014
On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030
Goodrich, Christopher S.
2013
On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008
Goodrich, Christopher S.
2013
On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029
Goodrich, Christopher S.
2013
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293
Goodrich, Christopher S.
2013
Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049
Goodrich, Christopher S.
2013
On discrete sequential fractional boundary value problems. Zbl 1236.39008
Goodrich, Christopher S.
2012
On a discrete fractional three-point boundary value problem. Zbl 1253.26010
Goodrich, Christopher S.
2012
Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153
Goodrich, Christopher S.
2012
On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006
Goodrich, Christopher S.
2012
On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016
Goodrich, Christopher S.
2012
On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032
Goodrich, C. S.
2012
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054
Goodrich, Christopher S.
2012
Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065
Goodrich, Christopher S.
2012
Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010
Ferreira, Rui A. C.; Goodrich, Christopher S.
2012
The existence of a positive solution to a second-order delta-nabla $$p$$-Laplacian BVP on a time scale. Zbl 1235.34241
Goodrich, Christopher S.
2012
On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1273.26010
Goodrich, Christopher S.
2012
Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002
Goodrich, Christopher S.
2011
Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012
Goodrich, Christopher S.
2011
Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003
Goodrich, Christopher S.
2011
On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008
Goodrich, Christopher
2011
Existence of a positive solution to a first-order $$p$$-Laplacian BVP on a time scale. Zbl 1236.34112
Goodrich, Christopher S.
2011
Some new existence results for fractional difference equations. Zbl 1215.39004
Goodrich, Christopher S.
2011
Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007
Goodrich, Christopher S.
2010
Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002
Goodrich, Christopher S.
2010
all top 5

### Cited by 659 Authors

 76 Goodrich, Christopher S. 31 Liu, Lishan 28 Wu, Yonghong 26 Abdeljawad, Thabet 24 Ntouyas, Sotiris K. 22 Ahmad, Bashir 21 Băleanu, Dumitru I. 20 Xu, Jiafa 16 Jia, Baoguo 16 Lizama, Carlos 16 Sitthiwirattham, Thanin 16 Zhang, Xinguang 15 Al-saedi, Ahmed Eid Salem 13 Infante, Gennaro 13 Ouannas, Adel 13 Tariboon, Jessada 12 Khennaoui, Amina-Aicha 12 Kong, Lingju 12 Peterson, Allan C. 11 Alzabut, Jehad O. 11 Dahal, Rajendra 11 Graef, John R. 11 O’Regan, Donal 10 Bendoukha, Samir 10 Erbe, Lynn Harry 10 Jiang, Jiqiang 10 Sun, Shurong 10 Ur Rehman, Mujeeb 9 Cui, Yujun 9 Grassi, Giuseppe 9 Jonnalagadda, Jaganmohan 9 Pham, Viet-Thanh 9 Pietramala, Paolamaria 9 Wu, Guocheng 8 Agarwal, Ravi P. 8 Chen, Huiqin 8 Kang, Shugui 8 Shah, Kamal 7 Du, Feifei 7 Han, Zhenlai 7 Lv, Weidong 7 Merdivenci Atici, Ferhan 7 Samet, Bessem 7 Wang, Yongqing 7 Zhang, Lingling 6 Chasreechai, Saowaluck 6 Chen, Churong 6 Cianciaruso, Filomena 6 Ferreira, Rui A. C. 6 Hao, Xin’an 6 Henderson, Johnny Lee 6 Selvam, A. George Maria 5 Chu, Yuming 5 Hou, Chengmin 5 Liu, Yuji 5 Lyons, Benjamin 5 Rao, Sabbavarapu Nageswara 5 Rashid, Saima 5 Wang, Fang 5 Wang, Min 5 Zhang, Xingqiu 5 Zhao, Kaihong 5 Zhao, Yulin 4 Abadias, Luciano 4 Asawasamrit, Suphawat 4 Cabada, Alberto 4 Chen, Haibo 4 Eloe, Paul W. 4 Fu, Zhengqing 4 Haider, Syed Sabyel 4 Jarad, Fahd 4 Jleli, Mohamed Boussairi 4 Kanagarajan, Kuppusamy 4 Khan, Rahmat Ali 4 Kong, Qingkai 4 Krushna, Boddu Muralee Bala 4 Li, Xinhui 4 Liu, Xiang 4 Luca, Rodica 4 Luo, Zhiguo 4 Prasad, Kapula Rajendra 4 Reunsumrit, Jiraporn 4 Rezapour, Shahram 4 Sadarangani, Kishin B. 4 Vivek, Devaraj 4 Zada, Akbar 4 Zhai, Chengbo 4 Zhou, Bibo 4 Zhou, Yong 3 Ahmad, Hijaz 3 Al-Hutami, Hana 3 Almalahi, Mohammed A. 3 Alsulami, Hamed Hamdan 3 Alvarez, Edgardo 3 Baoguo, Jia 3 Bohner, Martin J. 3 Chai, Guoqing 3 Chen, Fulai 3 Cheng, Wei 3 Cui, Yaqiong ...and 559 more Authors
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### Cited in 146 Serials

 87 Advances in Difference Equations 37 Abstract and Applied Analysis 36 Boundary Value Problems 24 Journal of Difference Equations and Applications 21 Applied Mathematics and Computation 19 Journal of Function Spaces 18 Applied Mathematics Letters 18 Fractional Calculus & Applied Analysis 18 Discrete Dynamics in Nature and Society 17 Journal of Applied Mathematics and Computing 15 Journal of Inequalities and Applications 12 Fractional Differential Calculus 10 Chaos, Solitons and Fractals 9 Computers & Mathematics with Applications 9 Rocky Mountain Journal of Mathematics 9 Nonlinear Analysis. Modelling and Control 7 Journal of Mathematical Analysis and Applications 7 Mathematical Methods in the Applied Sciences 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Fractals 7 Mathematical Problems in Engineering 7 Journal of Fixed Point Theory and Applications 7 Journal of Nonlinear Science and Applications 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Archiv der Mathematik 6 Journal of Computational and Applied Mathematics 6 Filomat 6 Communications in Nonlinear Science and Numerical Simulation 5 Applicable Analysis 5 Journal of Differential Equations 5 Complexity 5 Positivity 5 Chaos 5 Mediterranean Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Analysis (München) 4 Qualitative Theory of Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Applied Analysis and Computation 4 AIMS Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Topological Methods in Nonlinear Analysis 3 Turkish Journal of Mathematics 3 Vietnam Journal of Mathematics 3 Fixed Point Theory 3 Mathematical Biosciences and Engineering 3 Differential Equations and Applications 3 Mathematical Sciences 2 Israel Journal of Mathematics 2 Journal of the Franklin Institute 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 Neural Networks 2 Opuscula Mathematica 2 Differential Equations and Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Kragujevac Journal of Mathematics 2 Advanced Nonlinear Studies 2 Advances in Differential Equations and Control Processes 2 Journal of Mathematics 2 Computational Methods for Differential Equations 2 Open Mathematics 2 Computational and Mathematical Biophysics 1 International Journal of Control 1 Physica A 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Numerical Functional Analysis and Optimization 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Partial Differential Equations 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Tatra Mountains Mathematical Publications 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Applicationes Mathematicae 1 Electronic Journal of Differential Equations (EJDE) ...and 46 more Serials
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### Cited in 35 Fields

 370 Ordinary differential equations (34-XX) 259 Difference and functional equations (39-XX) 224 Real functions (26-XX) 171 Operator theory (47-XX) 64 Partial differential equations (35-XX) 41 Integral equations (45-XX) 21 Systems theory; control (93-XX) 20 Numerical analysis (65-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Special functions (33-XX) 13 Integral transforms, operational calculus (44-XX) 12 Functional analysis (46-XX) 10 Biology and other natural sciences (92-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Abstract harmonic analysis (43-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)