Multiply sign-changing solutions for fourth-order nonlinear boundary value problems

DOI10.1016/j.na.2006.06.014zbMath1119.34306OpenAlexW2087071791MaRDI QIDQ880322

Yongxiang Li

Publication date: 15 May 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.2006.06.014

zbMATH Keywords

conepositive solutionfixed point indexsign-changing solutionfourth-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

Related Items (5)

Infinitely many sign-changing solutions for some nonlinear fourth-order beam equations ⋮ Multiple solutions of some boundary value problems with parameters ⋮ Nontrivial solutions to a class of systems of second-order differential equations ⋮ Positive solutions for a second-order differential system ⋮ Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete boundary value problems

Cites Work

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• On fourth order boundary value problems arising in beam analysis
• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Nonresonance conditions for fourth order nonlinear boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
• The method of lower and upper solutions for a bending of an elastic beam equation
• On positive solutions of some nonlinear fourth-order beam equations
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• On the existence of positive solutions of fourth-order ordinary differential equations
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
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