A multiplicity result for a nonlinear boundary value problem

DOI10.1006/jmaa.1997.5799zbMath0899.34016OpenAlexW1974485098MaRDI QIDQ1381590

Kim Goudreau

Publication date: 9 September 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5799

zbMATH Keywords

existencemultiplicityupper and lower solutionsordinary differential equationsnonlinear boundary value problemsresonanceLeray-Schauder degree

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (7)

Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth ⋮ Existence and multiplicity results for some three-point boundary value problems ⋮ Multiplicity of solutions of Dirichlet second order boundary value problems with derivative dependance ⋮ Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence ⋮ Multiple solutions of boundary value problems with \(\phi\)-Laplacian operators and under a wintner-Nagumo growth condition ⋮ Existence of at least three solutions of a second-order three-point boundary value problem ⋮ Triple positive solutions for nonlinear boundary value problems in Banach space

Cites Work

• Generalized Ambrosetti-Prodi conditions for nonlinear two-point boundary value problems
• A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Second order periodic problems with at most linear growth
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Multiplicity results for four-point boundary value problems
• Remarks on some quasilinear elliptic equations
• A multiplicity result for a periodic boundary value problem
• The Non-Local Existence Problem of Ordinary Differential Equations
• On a theorem of S. Bernstein
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