Multiple solutions of some fourth-order boundary value problems

DOI10.1016/j.na.2006.03.042zbMath1126.34013OpenAlexW1966383084MaRDI QIDQ878532

Fuyi Li, Guodong Han

Publication date: 26 April 2007

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/j.na.2006.03.042

zbMATH Keywords

boundary value problemscritical point theoryoperators in ordered Banach spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Cites Work

• Variational and topological methods in partially ordered Hilbert spaces
• Triple positive solutions and dependence on higher order derivatives
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order periodic boundary value problems
• Existence of multiple symmetric positive solutions of higher order Lidstone problems.
• Positive solutions of fourth-order two point boundary value problems.
• General Lidstone problems: Multiplicity and symmetry of solutions
• On positive solutions of some nonlinear fourth-order beam equations
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
• Unnamed Item

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