Existence of positive solutions to fourth order quasilinear boundary value problems

DOI10.1007/s10114-005-0806-zzbMath1127.34311OpenAlexW1964135345MaRDI QIDQ882755

Zhanbing Bai, Weigao Ge

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0806-z

zbMATH Keywords

positive solutionfixed point theoremfourth-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (4)

Positive solutions for some beam equation boundary value problems ⋮ Positive solutions of \(n\)th-order nonlinear impulsive differential equation with nonlocal boundary conditions ⋮ Nodal solutions for a nonlinear fourth-order eigenvalue problem ⋮ On positive solutions for some second-order three-point boundary value problems with convection term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fourth order boundary value problems arising in beam analysis
• Existence and uniqueness theorems for fourth-order boundary value problems
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Nonresonance conditions for fourth order nonlinear boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• 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
• Upper and lower solution methods for fully nonlinear boundary value problems
• Existence of three positive solutions for some second-order boundary value problems
• The monotone iterative technique and periodic boundary value problem for first-order impulsive functional-differential equations
• Existence, multicity and infinite solvability of positive solutions for one-dimensional \(p\)-Laplacian
• Fixed Point Theorem of Cone Expansion and Compression of Functional Type
• On the existence of positive solutions of fourth-order ordinary differential equations
• On fourth-order elliptic boundary value problems
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

This page was built for publication: Existence of positive solutions to fourth order quasilinear boundary value problems