Positive and sign-changing solutions for fourth-order BVPs with parameters

DOI10.1007/s12190-008-0200-yzbMath1181.34022OpenAlexW2079094314MaRDI QIDQ1034961

Guang Zhang, Xi-Lan Liu

Publication date: 9 November 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0200-y

zbMATH Keywords

existencemultiple solutionsfourth-order BVP

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-parameter nonresonance condition for the existence of fourth-order boundary value problems
• Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Eigenvalues of Lidstone boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• The method of lower and upper solutions for a bending of an elastic beam equation
• Positive solutions of the nonlinear fourth-order beam equation with three parameters
• Existence of positive solutions of a fourth-order boundary value problem
• Existence of positive solutions of lidstone boundary value problems
• Multiple solutions for fourth-order boundary value problem
• Fourth-Order Two-Point Boundary Value Problems
• On the Positive Solutions of a Nonlinear Fourth-order Boundary Value Problem with Two Parameters
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition