Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales

DOI10.3906/MAT-1503-23zbMath1424.34320OpenAlexW2539003758MaRDI QIDQ4633209

Abdulkadir Dogan

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1503-23

zbMATH Keywords

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

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Dynamic equations on time scales or measure chains (34N05)

Cites Work

• Higher order semipositone multi-point boundary value problems on time scales
• Existence of positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and positive homomorphism on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Multiple positive solutions for \(p\)-Laplacian \(m\)-point boundary value problems on time scales
• The multiple positive solutions for \(p\)-Laplacian multipoint BVP with sign changing nonlinearity on time scales
• Positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Existence of multiple positive solutions for \(p\)-Laplacian multipoint boundary value problems on time scales
• Triple positive solutions of \(m\)-point BVPs for \(p\)-Laplacian dynamic equations on time scales
• Triple positive solutions for a class ofm-point dynamic equations on time scales withp-Laplacian
• Several existence theorems of nonlinear \(m\)-point boundary value problem for \(p\)-Laplacian dynamic equations on time scales
• Higher-order singular multi-point boundary-value problems on time scales
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