Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs

DOI10.1080/10236198.2015.1125896zbMath1372.39009OpenAlexW2340773613MaRDI QIDQ2816610

Christopher S. Goodrich

Publication date: 25 August 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1125896

zbMATH Keywords

conecoercivitypositive solutionnonlocal boundary value problemdiscrete boundary value problemsdiscrete calculussummation equationHarnack-like inequality

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Difference operators (39A70) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (11)

Nontrivial solutions for a nonlinear νth order Atıcı-Eloe fractional difference equation satisfying Dirichlet boundary conditions ⋮ Nonlocal difference equations with sign-changing coefficients ⋮ Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps ⋮ Discrete Kirchhoff equations with sign-changing coefficients ⋮ Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Existence of local solutions for fractional difference equations with left focal boundary conditions ⋮ Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ Existence of local solutions for fractional difference equations with Dirichlet boundary conditions ⋮ An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing

Cites Work

• Unnamed Item
• Positive solutions to fractional differential equations involving Stieltjes integral conditions
• Positive solutions for a nonlinear differential equation on a measure chain
• Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions
• Coupled systems of boundary value problems with nonlocal boundary conditions
• Positive solutions of a second-order integral boundary value problem
• Positive solutions to a system of second-order nonlocal boundary value problems
• On semipositone discrete fractional boundary value problems with non-local boundary conditions
• Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Eigenvalue conditions and positive solutions
• On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
• Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions

This page was built for publication: Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs