Arbitrary positive solutions to a multi-point p-laplacian boundary value problem involving the derivative on time scales

DOI10.1016/j.mcm.2010.12.052zbMath1219.34119OpenAlexW1996386864MaRDI QIDQ636455

You-Hui Su

Publication date: 28 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.12.052

zbMATH Keywords

positive solutionstime scalesboundary value problemfixed point theorem\(p\)-laplacian

Mathematics Subject Classification ID

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) Dynamic equations on time scales or measure chains (34N05)

Related Items

Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods ⋮ Variational approach of \(p\)-Laplacian impulsive differential equations with periodic conditions ⋮ A non-autonomous Hamiltonian system on time scales ⋮ Existence of three symmetric positive solutions for a second-order multi-point boundary value problem on time scales ⋮ Positive solutions of \(m\)-point integral boundary value problems for second-order \(p\)-Laplacian dynamic equations on time scales ⋮ Homoclinic orbits and periodic solutions for a class of Hamiltonian systems on time scales ⋮ Variational approach for a p-Laplacian boundary value problem on time scales ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of triple positive solutions of two-point right focal boundary value problems on time scales
• Positive solutions of singular \(p\)-Laplacian dynamic equations with sign changing nonlinearity
• Positive solutions of singular \(p\)-Laplacian BVPs with sign changing nonlinearity on time scales
• Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Triple positive solutions of \(m\)-point BVPs for \(p\)-Laplacian dynamic equations on time scales
• Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales
• Multiple positive pseudo-symmetric solutions of \(p\)-Laplacian dynamic equations on time scales
• Multiple positive solutions for nonlinear three-point boundary value problems on time scales
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian dynamic equations on time scales