Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales

DOI10.1186/1687-2770-2013-52zbMath1288.34083OpenAlexW2159804671WikidataQ59293447 ScholiaQ59293447MaRDI QIDQ2444613

Ilkay Yaslan Karaca, Fatma Tokmak Fen

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-52

zbMATH Keywords

time scalesfixed-point theoremsymmetric positive solution\(m\)-point boundary value problemincreasing homeomorphism and homomorphism

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

Multi-parameter second-order impulsive indefinite boundary value problems, Eigenvalues for iterative systems of nonlinear \(m\)-point boundary value problems on time scales, Existence of positive solutions for third-order boundary value problems with integral boundary conditions on time scales, An application of variational approach to a class of damped vibration problems with impulsive effects on time scales

Cites Work

• Unnamed Item
• Symmetric positive solutions of fourth order integral BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Multiplicity of symmetric positive solutions for a multipoint boundary value problem with a one-dimensional \(p\)-Laplacian
• The existence of countably many positive solutions for singular multipoint boundary value problems
• Basic calculus on time scales and some of its applications
• Four functionals fixed point theorem