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Goodrich, Christopher S.

Author ID: goodrich.christopher-s Recent zbMATH articles by "Goodrich, Christopher S."
Published as: Goodrich, Christopher S.; Goodrich, Christopher; Goodrich, C. S.
External Links: MGP
Documents Indexed: 114 Publications since 2010, including 1 Book
Reviewing Activity: 81 Reviews
Co-Authors: 30 Co-Authors with 42 Joint Publications
1,670 Co-Co-Authors
all top 5

Serials

14 Journal of Difference Equations and Applications
10 Applied Mathematics Letters
6 Analysis (München)
6 Journal of Fixed Point Theory and Applications
5 Archiv der Mathematik
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Journal of Differential Equations
4 Applicable Analysis and Discrete Mathematics
3 Computers & Mathematics with Applications
3 Mathematical Methods in the Applied Sciences
3 Commentationes Mathematicae Universitatis Carolinae
3 Proceedings of the American Mathematical Society. Series B
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 Mathematische Nachrichten
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Filomat
2 Positivity
2 Advanced Nonlinear Studies
1 Israel Journal of Mathematics
1 Studia Mathematica
1 Bulletin of the London Mathematical Society
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 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Journal of Convex Analysis
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Communications in Applied Analysis
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
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

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 2,500 times in 908 Documents Cited by Year
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
330
2015
Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007
Goodrich, Christopher S.
172
2010
Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002
Goodrich, Christopher S.
152
2011
On discrete sequential fractional boundary value problems. Zbl 1236.39008
Goodrich, Christopher S.
89
2012
Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012
Goodrich, Christopher S.
85
2011
Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003
Goodrich, Christopher S.
78
2011
Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002
Goodrich, Christopher S.
78
2010
On a discrete fractional three-point boundary value problem. Zbl 1253.26010
Goodrich, Christopher S.
67
2012
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080
Goodrich, Christopher; Lizama, Carlos
60
2020
A monotonicity result for discrete fractional difference operators. Zbl 1296.39016
Dahal, Rajendra; Goodrich, Christopher S.
51
2014
Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153
Goodrich, Christopher S.
47
2012
A convexity result for fractional differences. Zbl 1314.26010
Goodrich, Christopher S.
42
2014
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
41
2016
On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030
Goodrich, Christopher S.
39
2013
Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002
Dahal, Rajendra; Duncan, David; Goodrich, Christopher S.
34
2014
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.
34
2018
Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017
Goodrich, Christopher S.
33
2017
On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006
Goodrich, Christopher S.
32
2012
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
32
2020
On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008
Goodrich, Christopher S.
32
2013
On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032
Goodrich, C. S.
30
2012
Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144
Goodrich, Christopher S.
30
2018
On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016
Goodrich, Christopher S.
29
2012
A topological approach to nonlocal elliptic partial differential equations on an annulus. Zbl 1525.34047
Goodrich, Christopher S.
28
2021
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
25
2017
An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003
Dahal, Rajendra; Goodrich, Christopher S.
25
2017
A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011
Goodrich, Christopher S.
25
2016
On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038
Goodrich, Christopher S.
24
2015
On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008
Goodrich, Christopher
24
2011
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
24
2019
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054
Goodrich, Christopher S.
22
2012
Some new existence results for fractional difference equations. Zbl 1215.39004
Goodrich, Christopher S.
21
2011
A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011
Goodrich, Christopher S.
20
2018
Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001
Goodrich, Christopher S.
19
2015
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034
Goodrich, Christopher S.
19
2015
Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065
Goodrich, Christopher S.
18
2012
Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale. Zbl 1236.34112
Goodrich, Christopher S.
17
2011
The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015
Goodrich, Christopher S.
17
2017
On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029
Goodrich, Christopher S.
16
2013
The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041
Goodrich, Christopher S.
16
2016
Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206
Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea
16
2020
A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012
Goodrich, Christopher S.
16
2017
Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010
Ferreira, Rui A. C.; Goodrich, Christopher S.
15
2012
Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046
Foss, Mikil; Goodrich, Christopher S.
15
2015
Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058
Goodrich, Christopher S.; Ragusa, M. Alessandra
15
2019
A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016
Goodrich, Christopher S.
14
2017
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
14
2017
A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044
Goodrich, Christopher S.
14
2021
An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036
Goodrich, Christopher S.; Muellner, Matthew
14
2019
Nonlocal differential equations with concave coefficients of convolution type. Zbl 1494.34082
Goodrich, Christopher S.
13
2021
Differential equations with multiple sign changing convolution coefficients. Zbl 1489.34037
Goodrich, Christopher S.
13
2021
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031
Goodrich, Christopher; Lizama, Carlos
13
2022
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.
12
2016
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.
12
2021
Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062
Goodrich, Christopher S.
12
2018
Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022
Goodrich, Christopher S.
12
2019
Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009
Goodrich, Christopher S.
11
2016
Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050
Goodrich, Christopher S.
11
2015
The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. Zbl 1235.34241
Goodrich, Christopher S.
11
2012
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
11
2017
Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006
Goodrich, Christopher S.
10
2016
Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 1504.34051
Goodrich, Christopher S.
10
2021
A one-dimensional Kirchhoff equation with generalized convolution coefficients. Zbl 1504.34052
Goodrich, Christopher S.
10
2021
Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006
Dahal, Rajendra; Goodrich, Christopher S.
10
2019
Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003
Goodrich, Christopher S.; Lyons, Benjamin
9
2020
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
9
2017
Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219
Dahal, Rajendra; Goodrich, Christopher S.
9
2021
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
8
2015
A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029
Goodrich, Christopher S.
8
2014
Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029
Goodrich, Christopher S.
8
2017
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293
Goodrich, Christopher S.
8
2013
Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005
Goodrich, Christopher S.
8
2019
A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008
Dahal, Rajendra; Goodrich, Christopher S.
8
2019
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
8
2021
Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016
Goodrich, Christopher S.
7
2021
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 1510.26007
Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T.
7
2021
On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039
Goodrich, Christopher S.
7
2017
Nonlocal differential equations with \({(p,q)}\) growth. Zbl 1531.45012
Goodrich, Christopher S.
7
2023
Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049
Goodrich, Christopher S.
6
2013
Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 1524.45005
Goodrich, Christopher S.
6
2020
An analysis of nonlocal difference equations with finite convolution coefficients. Zbl 1486.39021
Goodrich, Christopher S.
6
2022
Nonexistence and parameter range estimates for convolution differential equations. Zbl 1517.34034
Goodrich, Christopher S.
6
2022
Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001
Goodrich, Christopher S.
5
2016
Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 1516.35151
Goodrich, Christopher S.
5
2018
Operators with Gaussian kernel bounds on mixed Morrey spaces. Zbl 1499.42089
Anceschi, Francesca; Goodrich, Christopher S.; Scapellato, Andrea
5
2019
A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032
Goodrich, Christopher S.
5
2018
Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 1485.39006
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
5
2021
Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022
Dahal, Rajendra; Goodrich, Christopher S.
4
2015
An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035
Goodrich, Christopher S.
4
2014
Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005
Goodrich, Christopher S.
4
2017
Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006
Goodrich, Christopher S.; Lyons, Benjamin
4
2020
An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 1505.39005
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
4
2021
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound. Zbl 1485.26010
Dahal, Rajendra; Goodrich, Christopher S.; Lyons, Benjamin
4
2021
Partial regularity of minimizers of asymptotically convex functionals with \({p(x)}\)-growth. Zbl 1523.35093
Goodrich, Christopher S.; Scapellato, Andrea
3
2022
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Zbl 1498.35209
Goodrich, Christopher; Scilla, Giovanni; Stroffolini, Bianca
3
2022
An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018
Dahal, Rajendra; Goodrich, Christopher S.
3
2019
On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag-Leffler kernel. Zbl 1529.26011
Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Hamasalh, Faraidun Kadir; Kashuri, Artion; Hamed, Y. S.
3
2022
Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals. Zbl 1532.26016
Ali, Muhammad Aamir; Goodrich, Christopher S.; Budak, Hüseyin
3
2023
A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006
Goodrich, Christopher S.
2
2016
Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients. Zbl 1460.35063
Goodrich, Christopher S.
2
2021
An application of Sobolev’s inequality to one-dimensional Kirchhoff equations. Zbl 1541.34044
Goodrich, Christopher S.
2
2024
Nonexistence of nontrivial solutions to Kirchhoff-like equations. Zbl 07881500
Goodrich, Christopher S.
1
2024
Nonlocal differential equations with \({(p,q)}\) growth. Zbl 1531.45012
Goodrich, Christopher S.
7
2023
Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals. Zbl 1532.26016
Ali, Muhammad Aamir; Goodrich, Christopher S.; Budak, Hüseyin
3
2023
Nonlocal differential equations with convex convolution coefficients. Zbl 1528.33001
Goodrich, Christopher S.
2
2023
Convolution equations with variable time nonlocal coefficients. Zbl 1528.34022
Goodrich, Christopher S.
2
2023
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031
Goodrich, Christopher; Lizama, Carlos
13
2022
An analysis of nonlocal difference equations with finite convolution coefficients. Zbl 1486.39021
Goodrich, Christopher S.
6
2022
Nonexistence and parameter range estimates for convolution differential equations. Zbl 1517.34034
Goodrich, Christopher S.
6
2022
Partial regularity of minimizers of asymptotically convex functionals with \({p(x)}\)-growth. Zbl 1523.35093
Goodrich, Christopher S.; Scapellato, Andrea
3
2022
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Zbl 1498.35209
Goodrich, Christopher; Scilla, Giovanni; Stroffolini, Bianca
3
2022
On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag-Leffler kernel. Zbl 1529.26011
Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Hamasalh, Faraidun Kadir; Kashuri, Artion; Hamed, Y. S.
3
2022
New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 07513340
Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S.
2
2022
A topological approach to nonlocal elliptic partial differential equations on an annulus. Zbl 1525.34047
Goodrich, Christopher S.
28
2021
A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044
Goodrich, Christopher S.
14
2021
Nonlocal differential equations with concave coefficients of convolution type. Zbl 1494.34082
Goodrich, Christopher S.
13
2021
Differential equations with multiple sign changing convolution coefficients. Zbl 1489.34037
Goodrich, Christopher S.
13
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.
12
2021
Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 1504.34051
Goodrich, Christopher S.
10
2021
A one-dimensional Kirchhoff equation with generalized convolution coefficients. Zbl 1504.34052
Goodrich, Christopher S.
10
2021
Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219
Dahal, Rajendra; Goodrich, Christopher S.
9
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
8
2021
Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016
Goodrich, Christopher S.
7
2021
Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 1510.26007
Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T.
7
2021
Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 1485.39006
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
5
2021
An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 1505.39005
Goodrich, Christopher S.; Jonnalagadda, Jagan M.
4
2021
Monotonicity results for sequential fractional differences of mixed orders with negative lower bound. Zbl 1485.26010
Dahal, Rajendra; Goodrich, Christopher S.; Lyons, Benjamin
4
2021
Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients. Zbl 1460.35063
Goodrich, Christopher S.
2
2021
Discrete Kirchhoff equations with sign-changing coefficients. Zbl 1481.39005
Goodrich, Christopher S.
2
2021
Analysis of convexity results for discrete fractional nabla operators. Zbl 1500.39013
Dahal, Rajendra; Goodrich, Christopher S.
2
2021
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080
Goodrich, Christopher; Lizama, Carlos
60
2020
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
32
2020
Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206
Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea
16
2020
Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003
Goodrich, Christopher S.; Lyons, Benjamin
9
2020
Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 1524.45005
Goodrich, Christopher S.
6
2020
Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006
Goodrich, Christopher S.; Lyons, Benjamin
4
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
24
2019
Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058
Goodrich, Christopher S.; Ragusa, M. Alessandra
15
2019
An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036
Goodrich, Christopher S.; Muellner, Matthew
14
2019
Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022
Goodrich, Christopher S.
12
2019
Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006
Dahal, Rajendra; Goodrich, Christopher S.
10
2019
Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005
Goodrich, Christopher S.
8
2019
A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008
Dahal, Rajendra; Goodrich, Christopher S.
8
2019
Operators with Gaussian kernel bounds on mixed Morrey spaces. Zbl 1499.42089
Anceschi, Francesca; Goodrich, Christopher S.; Scapellato, Andrea
5
2019
An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018
Dahal, Rajendra; Goodrich, Christopher S.
3
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.
34
2018
Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144
Goodrich, Christopher S.
30
2018
A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011
Goodrich, Christopher S.
20
2018
Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062
Goodrich, Christopher S.
12
2018
Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 1516.35151
Goodrich, Christopher S.
5
2018
A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032
Goodrich, Christopher S.
5
2018
Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations. Zbl 1391.45003
Goodrich, Christopher S.
2
2018
Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017
Goodrich, Christopher S.
33
2017
Monotonicity results for delta fractional differences revisited. Zbl 1505.26016
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
25
2017
An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003
Dahal, Rajendra; Goodrich, Christopher S.
25
2017
The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015
Goodrich, Christopher S.
17
2017
A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012
Goodrich, Christopher S.
16
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.
14
2017
The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011
Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan
14
2017
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
11
2017
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
9
2017
Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029
Goodrich, Christopher S.
8
2017
On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039
Goodrich, Christopher S.
7
2017
Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005
Goodrich, Christopher S.
4
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
41
2016
A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011
Goodrich, Christopher S.
25
2016
The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041
Goodrich, Christopher S.
16
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.
12
2016
Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009
Goodrich, Christopher S.
11
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.
10
2016
Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001
Goodrich, Christopher S.
5
2016
A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006
Goodrich, Christopher S.
2
2016
Discrete fractional calculus. Zbl 1350.39001
Goodrich, Christopher; Peterson, Allan C.
330
2015
On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038
Goodrich, Christopher S.
24
2015
Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001
Goodrich, Christopher S.
19
2015
Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034
Goodrich, Christopher S.
19
2015
Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046
Foss, Mikil; Goodrich, Christopher S.
15
2015
Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050
Goodrich, Christopher S.
11
2015
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
8
2015
Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022
Dahal, Rajendra; Goodrich, Christopher S.
4
2015
A monotonicity result for discrete fractional difference operators. Zbl 1296.39016
Dahal, Rajendra; Goodrich, Christopher S.
51
2014
A convexity result for fractional differences. Zbl 1314.26010
Goodrich, Christopher S.
42
2014
Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002
Dahal, Rajendra; Duncan, David; Goodrich, Christopher S.
34
2014
A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029
Goodrich, Christopher S.
8
2014
An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035
Goodrich, Christopher S.
4
2014
On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030
Goodrich, Christopher S.
39
2013
On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008
Goodrich, Christopher S.
32
2013
On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029
Goodrich, Christopher S.
16
2013
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293
Goodrich, Christopher S.
8
2013
Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049
Goodrich, Christopher S.
6
2013
On discrete sequential fractional boundary value problems. Zbl 1236.39008
Goodrich, Christopher S.
89
2012
On a discrete fractional three-point boundary value problem. Zbl 1253.26010
Goodrich, Christopher S.
67
2012
Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153
Goodrich, Christopher S.
47
2012
On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006
Goodrich, Christopher S.
32
2012
On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032
Goodrich, C. S.
30
2012
On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016
Goodrich, Christopher S.
29
2012
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054
Goodrich, Christopher S.
22
2012
Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065
Goodrich, Christopher S.
18
2012
Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010
Ferreira, Rui A. C.; Goodrich, Christopher S.
15
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.
11
2012
...and 9 more Documents
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Cited by 948 Authors

89 Goodrich, Christopher S.
37 Abdeljawad, Thabet
32 Liu, Lishan
29 Băleanu, Dumitru I.
29 Wu, Yonghong
28 Ntouyas, Sotiris K.
27 Jonnalagadda, Jagan Mohan
26 Ahmad, Bashir
24 Lizama, Carlos
23 Xu, Jiafa
21 Jia, Baoguo
19 Alzabut, Jehad O.
19 Wu, Guocheng
18 Al-saedi, Ahmed Eid Salem
18 Ouannas, Adel
17 Infante, Gennaro
17 Zhang, Xinguang
16 Sitthiwirattham, Thanin
14 Khennaoui, Amina-Aicha
14 Peterson, Allan C.
13 Du, Feifei
13 Mohammed, Pshtiwan Othman
13 O’Regan, Donal
13 Tariboon, Jessada
12 Grassi, Giuseppe
12 Jiang, Jiqiang
12 Kong, Lingju
12 Pietramala, Paolamaria
12 Sun, Shurong
12 ur Rehman, Mujeeb
12 Wei, Yiheng
11 Bendoukha, Samir
11 Dahal, Rajendra
11 Erbe, Lynn Harry
11 Graef, John R.
11 Pham, Viet-Thanh
11 Selvam, A. George Maria
10 Zhang, Lingling
9 Chen, Huiqin
9 Cui, Yujun
9 Kang, Shugui
9 Liu, Xiang
9 Merdivenci Atici, Ferhan
9 Rezapour, Shahram
9 Shah, Kamal
8 Agarwal, Ravi P.
8 Chen, Churong
8 Cianciaruso, Filomena
8 Hamed, Yasser S.
8 Hao, Xin’an
8 Ponce, Rodrigo F.
8 Samet, Bessem
7 Cabada, Alberto
7 Ferreira, Rui A. C.
7 Han, Zhenlai
7 Henderson, Johnny Lee
7 Jarad, Fahd
7 Lv, Weidong
7 Rashid, Saima
7 Wang, Yongqing
7 Zhao, Kaihong
7 Zhou, Yong
6 Bohner, Martin J.
6 Cao, Jinde
6 Chasreechai, Saowaluck
6 Chu, Yuming
6 Lyons, Benjamin
6 Samei, Mohammad Esmael
6 Srivastava, Hari Mohan
6 Vignesh, Dhakshinamoorthy
6 Wang, Min
6 Wang, Yong
6 Yang, Liu
6 Zada, Akbar
5 Abadias, Luciano
5 Dhineshbabu, Raghupathi
5 Haider, Syed Sabyel
5 Hou, Chengmin
5 Jleli, Mohamed Boussairi
5 Khastan, Alireza
5 Krushna, Boddu Muralee Bala
5 Lan, Kunquan
5 Liu, Yuji
5 Prasad, Kapula Rajendra
5 Rao, Sabbavarapu Nageswara
5 Sang, Yanbin
5 Wang, Fang
5 Wang, Guotao
5 Zhang, Xingqiu
5 Zhou, Bibo
4 Almalahi, Mohammed A.
4 Asawasamrit, Suphawat
4 Aslıyüce, Serkan
4 Beigmohamadi, R.
4 Chen, Fulai
4 Chen, Haibo
4 Cheng, Wei
4 Cui, Yaqiong
4 Dimitrov, Nikolay D.
4 Dong, Wei
...and 848 more Authors
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Cited in 186 Serials

102 Advances in Difference Equations
48 Boundary Value Problems
37 Abstract and Applied Analysis
32 Mathematical Methods in the Applied Sciences
26 Journal of Difference Equations and Applications
23 Applied Mathematics and Computation
23 Fractional Calculus & Applied Analysis
23 Journal of Function Spaces
21 Applied Mathematics Letters
19 Discrete Dynamics in Nature and Society
19 Journal of Applied Mathematics and Computing
18 Journal of Inequalities and Applications
17 Fractals
16 Chaos, Solitons and Fractals
15 Rocky Mountain Journal of Mathematics
15 Journal of Applied Analysis and Computation
14 Communications in Nonlinear Science and Numerical Simulation
14 Fractional Differential Calculus
11 Nonlinear Analysis. Modelling and Control
9 Computers & Mathematics with Applications
9 Journal of Mathematical Analysis and Applications
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Filomat
9 Qualitative Theory of Dynamical Systems
9 Journal of Fixed Point Theory and Applications
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Applicable Analysis
8 Journal of Differential Equations
8 Chaos
8 Mediterranean Journal of Mathematics
7 Journal of Computational and Applied Mathematics
7 Mathematical Problems in Engineering
7 Journal of Nonlinear Science and Applications
6 Archiv der Mathematik
6 Neural Networks
6 Topological Methods in Nonlinear Analysis
6 Turkish Journal of Mathematics
6 Positivity
6 Analysis (München)
6 Differential Equations and Applications
6 AIMS Mathematics
5 Mathematische Nachrichten
5 Complexity
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Mathematical Biosciences and Engineering
5 Asian Journal of Control
4 Proceedings of the American Mathematical Society
4 Journal of Integral Equations and Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Electronic Journal of Differential Equations (EJDE)
4 Opuscula Mathematica
4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Discrete and Continuous Dynamical Systems. Series S
4 Mathematical Sciences
3 Israel Journal of Mathematics
3 Journal of the Franklin Institute
3 Mathematica Slovaca
3 Results in Mathematics
3 Applied Mathematical Modelling
3 Nonlinear Dynamics
3 Vietnam Journal of Mathematics
3 Kragujevac Journal of Mathematics
3 Advanced Nonlinear Studies
3 Fixed Point Theory
3 Cubo
3 Advances in Differential Equations and Control Processes
3 Computational Methods for Differential Equations
3 Proceedings of the American Mathematical Society. Series B
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Demonstratio Mathematica
2 Information Sciences
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Ricerche di Matematica
2 Communications in Statistics. Theory and Methods
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Differential Equations and Dynamical Systems
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 Nonlinear Analysis. Real World Applications
2 Nonlinear Dynamics and Systems Theory
2 Communications on Pure and Applied Analysis
2 Advances in Mathematical Physics
2 International Journal of Differential Equations
2 Journal of Mathematical Extension
2 Journal of Mathematical Research with Applications
2 Journal of Mathematics
2 Open Mathematics
2 Journal of Elliptic and Parabolic Equations
2 Computational and Mathematical Biophysics
2 Electronic Research Archive
1 International Journal of Control
1 Physica A
1 Physics Letters. A
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Optimization
1 Biometrical Journal
...and 86 more Serials
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Cited in 40 Fields

474 Ordinary differential equations (34-XX)
376 Real functions (26-XX)
373 Difference and functional equations (39-XX)
252 Operator theory (47-XX)
91 Partial differential equations (35-XX)
56 Integral equations (45-XX)
39 Systems theory; control (93-XX)
27 Numerical analysis (65-XX)
24 Special functions (33-XX)
24 Dynamical systems and ergodic theory (37-XX)
23 Integral transforms, operational calculus (44-XX)
18 Biology and other natural sciences (92-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
14 Functional analysis (46-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Statistics (62-XX)
5 Fluid mechanics (76-XX)
4 Probability theory and stochastic processes (60-XX)
3 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 Computer science (68-XX)
2 Number theory (11-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Differential geometry (53-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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