Edit Profile (opens in new tab) Goodrich, Christopher S. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,801 times in 638 Documents Cited by ▼ Year ▼ Discrete fractional calculus. Zbl 1350.39001Goodrich, Christopher; Peterson, Allan C. 178 2015 Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007Goodrich, Christopher S. 140 2010 Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002Goodrich, Christopher S. 136 2011 On discrete sequential fractional boundary value problems. Zbl 1236.39008Goodrich, Christopher S. 78 2012 Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012Goodrich, Christopher S. 73 2011 Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003Goodrich, Christopher S. 68 2011 Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002Goodrich, Christopher S. 68 2010 On a discrete fractional three-point boundary value problem. Zbl 1253.26010Goodrich, Christopher S. 60 2012 Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153Goodrich, Christopher S. 45 2012 A monotonicity result for discrete fractional difference operators. Zbl 1296.39016Dahal, Rajendra; Goodrich, Christopher S. 37 2014 A convexity result for fractional differences. Zbl 1314.26010Goodrich, Christopher S. 34 2014 Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002Dahal, Rajendra; Duncan, David; Goodrich, Christopher S. 33 2014 On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030Goodrich, Christopher S. 33 2013 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576Goodrich, Christopher; Lizama, Carlos 31 2020 On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006Goodrich, Christopher S. 29 2012 On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016Goodrich, Christopher S. 29 2012 On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008Goodrich, Christopher S. 28 2013 On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032Goodrich, C. S. 28 2012 Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017Goodrich, Christopher S. 27 2017 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 24 2016 On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038Goodrich, Christopher S. 22 2015 New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097Goodrich, Christopher S. 22 2018 Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054Goodrich, Christopher S. 21 2012 Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144Goodrich, Christopher S. 20 2018 Monotonicity results for delta fractional differences revisited. Zbl 06760211Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 20 2017 On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008Goodrich, Christopher 19 2011 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029Goodrich, Christopher; Lizama, Carlos 19 2020 Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001Goodrich, Christopher S. 18 2015 An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003Dahal, Rajendra; Goodrich, Christopher S. 18 2017 Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale. Zbl 1236.34112Goodrich, Christopher S. 17 2011 A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011Goodrich, Christopher S. 17 2016 Some new existence results for fractional difference equations. Zbl 1215.39004Goodrich, Christopher S. 16 2011 Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065Goodrich, Christopher S. 16 2012 The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015Goodrich, Christopher S. 16 2017 Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034Goodrich, Christopher S. 15 2015 Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun 15 2019 On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029Goodrich, Christopher S. 15 2013 Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010Ferreira, Rui A. C.; Goodrich, Christopher S. 14 2012 A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011Goodrich, Christopher S. 14 2018 Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046Foss, Mikil; Goodrich, Christopher S. 13 2015 The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041Goodrich, Christopher S. 13 2016 A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016Goodrich, Christopher S. 12 2017 A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012Goodrich, Christopher S. 12 2017 Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050Goodrich, Christopher S. 11 2015 The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. Zbl 1235.34241Goodrich, Christopher S. 10 2012 On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034Foss, Mikil D.; Goodrich, Christopher S. 10 2016 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041Goodrich, Christopher S. 10 2017 Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009Goodrich, Christopher S. 9 2016 Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062Goodrich, Christopher S. 9 2018 Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006Goodrich, Christopher S. 9 2016 An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036Goodrich, Christopher S.; Muellner, Matthew 9 2019 A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029Goodrich, Christopher S. 8 2014 Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058Goodrich, Christopher S.; Ragusa, M. Alessandra 8 2019 Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022Goodrich, Christopher S. 8 2019 Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029Goodrich, Christopher S. 8 2017 Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T. 8 2021 Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea 7 2020 Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006Dahal, Rajendra; Goodrich, Christopher S. 7 2019 New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S. 7 2017 A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008Dahal, Rajendra; Goodrich, Christopher S. 6 2019 On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039Goodrich, Christopher S. 6 2017 On positive solutions to fractional difference inclusions. Zbl 1317.39006Ferreira, Rui A. C.; Goodrich, Christopher S. 5 2015 Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293Goodrich, Christopher S. 5 2013 Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin 5 2021 The relation between nabla fractional differences and nabla integer differences. Zbl 07389825Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan 5 2017 Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001Goodrich, Christopher S. 4 2016 An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035Goodrich, Christopher S. 4 2014 Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049Goodrich, Christopher S. 4 2013 Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 07041356Goodrich, Christopher S. 4 2018 Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005Goodrich, Christopher S. 4 2017 A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032Goodrich, Christopher S. 4 2018 Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005Goodrich, Christopher S. 4 2019 Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219Dahal, Rajendra; Goodrich, Christopher S. 4 2021 Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 07355111Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T. 4 2021 Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022Dahal, Rajendra; Goodrich, Christopher S. 3 2015 Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 07153996Goodrich, Christopher S. 3 2020 Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006Goodrich, Christopher S.; Lyons, Benjamin 3 2020 A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044Goodrich, Christopher S. 3 2021 Nonlocal differential equations with concave coefficients of convolution type. Zbl 07379238Goodrich, Christopher S. 3 2021 A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006Goodrich, Christopher S. 2 2016 Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations. Zbl 1391.45003Goodrich, Christopher S. 2 2018 An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018Dahal, Rajendra; Goodrich, Christopher S. 2 2019 Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003Goodrich, Christopher S.; Lyons, Benjamin 2 2020 Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016Goodrich, Christopher S. 2 2021 Differential equations with multiple sign changing convolution coefficients. Zbl 07382989Goodrich, Christopher S. 2 2021 An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 07423075Goodrich, Christopher S.; Jonnalagadda, Jagan M. 2 2021 On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1273.26010Goodrich, Christopher S. 1 2012 Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 07420199Goodrich, Christopher S. 1 2021 Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 07449480Goodrich, Christopher S.; Jonnalagadda, Jagan M. 1 2021 Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T. 8 2021 Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin 5 2021 Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219Dahal, Rajendra; Goodrich, Christopher S. 4 2021 Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 07355111Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T. 4 2021 A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044Goodrich, Christopher S. 3 2021 Nonlocal differential equations with concave coefficients of convolution type. Zbl 07379238Goodrich, Christopher S. 3 2021 Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016Goodrich, Christopher S. 2 2021 Differential equations with multiple sign changing convolution coefficients. Zbl 07382989Goodrich, Christopher S. 2 2021 An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 07423075Goodrich, Christopher S.; Jonnalagadda, Jagan M. 2 2021 Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 07420199Goodrich, Christopher S. 1 2021 Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 07449480Goodrich, Christopher S.; Jonnalagadda, Jagan M. 1 2021 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576Goodrich, Christopher; Lizama, Carlos 31 2020 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029Goodrich, Christopher; Lizama, Carlos 19 2020 Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea 7 2020 Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 07153996Goodrich, Christopher S. 3 2020 Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006Goodrich, Christopher S.; Lyons, Benjamin 3 2020 Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003Goodrich, Christopher S.; Lyons, Benjamin 2 2020 Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun 15 2019 An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036Goodrich, Christopher S.; Muellner, Matthew 9 2019 Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058Goodrich, Christopher S.; Ragusa, M. Alessandra 8 2019 Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022Goodrich, Christopher S. 8 2019 Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006Dahal, Rajendra; Goodrich, Christopher S. 7 2019 A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008Dahal, Rajendra; Goodrich, Christopher S. 6 2019 Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005Goodrich, Christopher S. 4 2019 An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018Dahal, Rajendra; Goodrich, Christopher S. 2 2019 New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097Goodrich, Christopher S. 22 2018 Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144Goodrich, Christopher S. 20 2018 A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011Goodrich, Christopher S. 14 2018 Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062Goodrich, Christopher S. 9 2018 Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 07041356Goodrich, Christopher S. 4 2018 A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032Goodrich, Christopher S. 4 2018 Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations. Zbl 1391.45003Goodrich, Christopher S. 2 2018 Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017Goodrich, Christopher S. 27 2017 Monotonicity results for delta fractional differences revisited. Zbl 06760211Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 20 2017 An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003Dahal, Rajendra; Goodrich, Christopher S. 18 2017 The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015Goodrich, Christopher S. 16 2017 A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016Goodrich, Christopher S. 12 2017 A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012Goodrich, Christopher S. 12 2017 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041Goodrich, Christopher S. 10 2017 Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029Goodrich, Christopher S. 8 2017 New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S. 7 2017 On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039Goodrich, Christopher S. 6 2017 The relation between nabla fractional differences and nabla integer differences. Zbl 07389825Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan 5 2017 Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005Goodrich, Christopher S. 4 2017 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 24 2016 A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011Goodrich, Christopher S. 17 2016 The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041Goodrich, Christopher S. 13 2016 On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034Foss, Mikil D.; Goodrich, Christopher S. 10 2016 Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009Goodrich, Christopher S. 9 2016 Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006Goodrich, Christopher S. 9 2016 Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001Goodrich, Christopher S. 4 2016 A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006Goodrich, Christopher S. 2 2016 Discrete fractional calculus. Zbl 1350.39001Goodrich, Christopher; Peterson, Allan C. 178 2015 On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038Goodrich, Christopher S. 22 2015 Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001Goodrich, Christopher S. 18 2015 Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034Goodrich, Christopher S. 15 2015 Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046Foss, Mikil; Goodrich, Christopher S. 13 2015 Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050Goodrich, Christopher S. 11 2015 On positive solutions to fractional difference inclusions. Zbl 1317.39006Ferreira, Rui A. C.; Goodrich, Christopher S. 5 2015 Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022Dahal, Rajendra; Goodrich, Christopher S. 3 2015 A monotonicity result for discrete fractional difference operators. Zbl 1296.39016Dahal, Rajendra; Goodrich, Christopher S. 37 2014 A convexity result for fractional differences. Zbl 1314.26010Goodrich, Christopher S. 34 2014 Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002Dahal, Rajendra; Duncan, David; Goodrich, Christopher S. 33 2014 A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029Goodrich, Christopher S. 8 2014 An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035Goodrich, Christopher S. 4 2014 On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030Goodrich, Christopher S. 33 2013 On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008Goodrich, Christopher S. 28 2013 On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029Goodrich, Christopher S. 15 2013 Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293Goodrich, Christopher S. 5 2013 Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049Goodrich, Christopher S. 4 2013 On discrete sequential fractional boundary value problems. Zbl 1236.39008Goodrich, Christopher S. 78 2012 On a discrete fractional three-point boundary value problem. Zbl 1253.26010Goodrich, Christopher S. 60 2012 Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153Goodrich, Christopher S. 45 2012 On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006Goodrich, Christopher S. 29 2012 On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016Goodrich, Christopher S. 29 2012 On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032Goodrich, C. S. 28 2012 Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054Goodrich, Christopher S. 21 2012 Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065Goodrich, Christopher S. 16 2012 Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010Ferreira, Rui A. C.; Goodrich, Christopher S. 14 2012 The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. Zbl 1235.34241Goodrich, Christopher S. 10 2012 On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1273.26010Goodrich, Christopher S. 1 2012 Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002Goodrich, Christopher S. 136 2011 Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012Goodrich, Christopher S. 73 2011 Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003Goodrich, Christopher S. 68 2011 On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008Goodrich, Christopher 19 2011 Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale. Zbl 1236.34112Goodrich, Christopher S. 17 2011 Some new existence results for fractional difference equations. Zbl 1215.39004Goodrich, Christopher S. 16 2011 Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007Goodrich, Christopher S. 140 2010 Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002Goodrich, Christopher S. 68 2010 all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year