Higher-order singular multi-point boundary-value problems on time scales

DOI10.1017/S0013091509001643zbMath1223.34122MaRDI QIDQ3006320

Lingju Kong, Abdulkadir Dogan, John R. Graef

Publication date: 10 June 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesspositive solutionstime scalesdependencemixed monotone operatorsingular boundary-value problems

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) Boundary eigenvalue problems for ordinary differential equations (34B09) Dynamic equations on time scales or measure chains (34N05)

Related Items (14)

Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations ⋮ Nonlinear retarded integral inequalities on time scales and their applications ⋮ Higher order semipositone multi-point boundary value problems on time scales ⋮ Existence of multiple positive solutions for \(p\)-Laplacian multipoint boundary value problems on time scales ⋮ A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Multiple solutions for a class of multipoint boundary value systems driven by a one-dimensional \((p_1, \dots, p_n)\)-Laplacian operator ⋮ Two-point boundary value problems for a class of second-order ordinary differential equations ⋮ Almost automorphic solutions of dynamic equations on time scales ⋮ Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales ⋮ Semigroups on time scales and applications to abstract Cauchy problems ⋮ Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales ⋮ Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem ⋮ Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions ⋮ Self-accessible states for linear systems on time scales

Cites Work

• Unnamed Item
• 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
• The multiple positive solutions for \(p\)-Laplacian multipoint BVP with sign changing nonlinearity on time scales
• Triple positive solutions for \(p\)-Laplacian \(m\)-point boundary value problem on time scales
• Positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales
• On fixed point theorems of mixed monotone operators and applications
• Fixed point theorems for a class of mixed monotone operators
• New fixed point theorems and applications of mixed monotone operator
• Existence and uniqueness of solutions for singular fourth-order boundary value problems
• Fixed point theorems for a class of mixed monotone operators with applications
• Coupled fixed points of nonlinear operators with applications
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications
• Existence of Solutions for a One Dimensionalp-Laplacian on Time-Scales

This page was built for publication: Higher-order singular multi-point boundary-value problems on time scales