A multiplicity result for a singular generalized Sturm-Liouville boundary value problem

DOI10.1016/J.MCM.2009.04.006zbMath1197.34039OpenAlexW1965447675MaRDI QIDQ969859

Youwei Zhang

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.04.006

zbMATH Keywords

conepositive solutionsmulti-point boundary value problemsAvery and Peterson's fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions ⋮ Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms ⋮ Exact multiplicity of solutions for a class of singular generalized one-dimensional \(p\)-Laplacian problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of singular second order \(m\)-point boundary value problems
• Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Positive solutions of singular sublinear Emden-Fowler boundary value problems
• Multiple positive solutions for nonlinear \(m\)-point boundary value problems.
• Singular problems motivated from classical upper and lower solutions
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Existence and iteration of \(n\) symmetric positive solutions for a singular two-point boundary value problem
• Solvability of an \(m\)-point boundary value problem for second order ordinary differential equations
• Multi-point boundary value problems of second-order differential equations. I
• Some new results for singular problems with sign changing nonlinearities
• Existence of triple positive solutions for multi-point boundary value problems with a one dimensional \(p\)-Laplacian
• Symmetric solutions of a multi-point boundary value problem
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• A nonlinear singular boundary value problem
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
• Eigenvalues of generalized Gelfand models
• Nonresonant singular two-point boundary value problems

This page was built for publication: A multiplicity result for a singular generalized Sturm-Liouville boundary value problem