On the nonhomogeneous fourth-order \(p\)-Laplacian generalized Sturm-Liouville nonlocal boundary value problems

DOI10.1155/2012/831960zbMath1264.34046OpenAlexW1996784181WikidataQ58700789 ScholiaQ58700789MaRDI QIDQ1925538

Jian Liu, Zengqin Zhao

Publication date: 18 December 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/831960

Mathematics Subject Classification ID

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 (2)

Positive solutions for a fourth-order \(p\)-Laplacian boundary value problem ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem

Cites Work

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• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Existence and iteration of positive solutions for a generalized right-focal boundary value problem with \(p\)-Laplacian operator
• Positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• Exact solutions of a class of second-order nonlocal boundary value problems and applications
• Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities
• Multiple positive solutions for \(m\)-point boundary-value problems with a one-dimensional \(p\)-Laplacian
• A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with \(p\)-Laplacian

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