Spurious solutions for discrete superlinear boundary value problems

DOI10.1007/BF02237994zbMath0459.34009OpenAlexW191836807MaRDI QIDQ1152014

Wolf-Jürgen Beyn, Jens Lorenz

Publication date: 1982

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02237994

zbMATH Keywords

discrete bifurcation diagramsfinite dimensional nonlinear eigenvalue problemsspurious solution branches

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential operators (34L99)

Related Items (3)

Constant sign solutions for parameter-dependent superlinear second-order difference equations ⋮ Tracing multiple solution branches for nonlinear ordinary differential equations: Chebyshev and Fourier spectral methods and a degree-increasing spectral homotopy [DISH] ⋮ Bifurcations of a simplified buckling problem and the effect of discretizations

Cites Work

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• On the bifurcation diagram of discrete analogues for ordinary bifurcation problems
• Stability and Multiplicity of Solutions to Discretizations of Nonlinear Ordinary Differential Equations
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations

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