Existence of multiple solutions for finite difference approximations to second-order boundary value problems

DOI10.1016/S0362-546X(02)00297-3zbMath1019.65054OpenAlexW2115993145MaRDI QIDQ1868830

H. B. Thompson

Publication date: 28 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(02)00297-3

zbMATH Keywords

Brouwer degreechemical reactionsmultiple solutionsfinite differencediscrete lower solutionsdiscrete two-point boundary value problemsdiscrete upper solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Chemically reacting flows (80A32) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian ⋮ Applications of maximum principles to dynamic equations on time scales ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ Periodic solutions of some second order difference equations ⋮ Existence and multiplicity results for periodic solutions of nonlinear difference equations

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