Necessary and sufficient conditions for the existence of quasi-symmetric positive solutions of singular boundary value problem
DOI10.1016/j.na.2008.10.125zbMath1177.34035OpenAlexW1979411564MaRDI QIDQ1021762
Huihui Pang, Chunmei Miao, Weigao Ge
Publication date: 9 June 2009
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.2008.10.125
lower and upper solutionsnecessary and sufficient conditionSchauder fixed point theoremthree-point boundary value problemquasi-symmetric
Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Cites Work
- Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems
- Triple positive pseudo-symmetric solutions to a four-point boundary value problem with \(p\)-Laplacian
- Existence and monotone iteration of positive solutions for a three-point boundary value problem
- Triple positive solutions and dependence on higher order derivatives
- Positive solutions of fourth-order two point boundary value problems.
- Three symmetric positive solutions for a second-order boundary value problem
- Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
- Symmetric positive solutions for nonlocal boundary value problems of fourth order
- Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
- Multiplicity of positive solutions for higher order Sturm-Liouville problems
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