On first-order discrete boundary value problems

DOI10.1080/10236190600949790zbMath1115.39022OpenAlexW2100513301MaRDI QIDQ3429316

Christopher C. Tisdell

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1080/10236190600949790

zbMATH Keywords

nonlinear systemexistence of solutionsdifference equationsBrouwer degree theory

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (14)

Transformations for complex discrete linear Hamiltonian and symplectic systems ⋮ A note on improved contraction methods for discrete boundary value problems ⋮ Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one ⋮ On some existence and uniqueness results for a class of equations of order \(0 < \alpha \leq 1\) on arbitrary time scales ⋮ Discrete approaches to continuous boundary value problems: existence and convergence of solutions ⋮ Regulated solutions for nonlinear measure driven equations ⋮ Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions ⋮ Some new results for BVPs of first-order nonlinear integro-differential equations of Volterra type ⋮ Quasilinearization for nonlinear boundary value problems for delay-type difference equations with maxima ⋮ Monotone-iterative method for solving antiperiodic nonlinear boundary value problems for generalized delay difference equations with maxima ⋮ Monotone-iterative method for mixed boundary value problems for generalized difference equations with ``maxima ⋮ The roles that shooting methods can play in the theory of discrete boundary value problems ⋮ On Picard's iteration method to solve differential equations and a pedagogical space for otherness ⋮ Existence and uniqueness of solutions to discrete,third-order three-point boundary value problems

Cites Work

• Two-point boundary value problems associated with first order nonlinear difference system -- existence and uniqueness
• The uniqueness of solutions to discrete, vector, two-point boundary value problems
• Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations
• Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
• Three-point boundary value problems for second-order discrete equations
• Difference equations in Banach spaces
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• Existence of solutions to boundary value problems for dynamic systems on time scales
• Singular Conjugate Boundary Value Problems on a Time Scale
• Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
• Some Discrete Nonlinear Inequalities and Applications to Boundary Value Problems for Difference Equations
• Three Point Boundary Value Problems on Time Scales
• Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales
• Existence of constant-sign solutions to a system of difference equations: the semipositone and singular case
• Existence of Solutions for a One Dimensionalp-Laplacian on Time-Scales
• Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line
• Monotone solutions of dynamic systems on time scales
• Existence of solutions to second-order BVPs on time scales

This page was built for publication: On first-order discrete boundary value problems