Existence results for singular three point boundary value problems on time scales

DOI10.1016/j.jmaa.2004.02.049zbMath1069.34012OpenAlexW2070627793MaRDI QIDQ596732

Parmjeet K. Singh, Jeffrey J. DaCunha, John M. Davis

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.049

zbMATH Keywords

Singular boundary value problemFixed point theoremTime scale

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (42)

Properties of right fractional sum and right fractional difference operators and application ⋮ Existence of positive solutions for nonlinear three-point problems on time scales ⋮ Positive solutions to semi-positone second-order three-point problems on time scales ⋮ Several existence theorems of multiple positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and homomorphism on time scales ⋮ EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEM ON TIME SCALES ⋮ Several sufficient conditions of solvability for a nonlinear higher order three-point boundary value problem on time scales ⋮ Existence of positive solutions for singular boundary value problem on time scales ⋮ Higher-order three-point boundary value problem on time scales ⋮ Multiple positive solutions for \(p\)-Laplacian \(m\)-point boundary value problems on time scales ⋮ Eigenvalue problem for \(p\)-Laplacian three-point boundary value problems on time scales ⋮ Positive solutions for second-order \(m\)-point boundary value problems on time scales ⋮ New fixed point theorems of mixed monotone operators and applications to singular boundary value problems on time scales ⋮ Multiple positive solutions for nonlinear three-point boundary value problems on time scales ⋮ On discrete sequential fractional boundary value problems ⋮ Positive solutions to boundary value problems with nonlinear boundary conditions ⋮ Time-scale-dependent criteria for the existence of positive solutions to \(p\)-Laplacian multipoint boundary value problem ⋮ On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals ⋮ Distributed leader‐follower consensus for a class of semilinear second‐order multiagent systems using time scale theory ⋮ Several existence theorems of nonlinear \(m\)-point BVP for an increasing homeomorphism and homomorphism on time scales ⋮ Existence results for dynamic inclusions on time scales with nonlocal initial conditions ⋮ Singular second-order multipoint dynamic boundary value problems with mixed derivatives ⋮ First-order singular boundary value problems withp-Laplacian on time scales ⋮ Solvability of a higher-order three-point boundary value problem on time scales ⋮ Existence results for singular boundary value problem of nonlinear fractional differential equation ⋮ Positive solutions of singular differential equations on measure chains ⋮ Positive solutions of the singular eigenvalue problem for a higher-order differential equation on time scales ⋮ Second-order \(n\)-point eigenvalue problems on time scales ⋮ Singular boundary value problem on infinite time scale ⋮ Positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales ⋮ Positive solutions for second-order semipositone problems on time scales ⋮ Multiplicity of positive solutions for a nonlinear \(m\)-point BVP with sign changing nonlinearity on time scales ⋮ Positive solutions to singular third-order three-point boundary value problems on time scales ⋮ Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity on time scales ⋮ Boundary value problems of nonlinear mixed-type fractional differential equations ⋮ Existence of positive solutions of nonlinear \(m\)-point BVP for an increasing homeomorphism and positive homomorphism on time scales ⋮ Several sufficient conditions of solvability for a nonlinear higher-order three-point boundary value problem with all derivatives ⋮ Positive solutions to singular multi-point dynamic eigenvalue problems with mixed derivatives ⋮ Existence results for an even-order boundary value problem on time scales ⋮ Positive solutions to singular and delay higher-order differential equations on time scales ⋮ Existence results for higher-order boundary value problems on time scales ⋮ Existence of positive solutions in generalized boundary value problem for \(p\)-Laplacian dynamic equations on time scales ⋮ Successive iteration and positive solutions for nonlinear \(m\)-point boundary value problems on time scales

Cites Work

• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Boundary value problems for singular second-order functional differential equations
• A sharper condition for the solvability of a three-point second order boundary value problem
• Singular \((k,n-k)\) boundary value problems between conjugate and right focal
• Multiple positive solutions for a three-point boundary value problem
• Dynamic equations on time scales: A survey
• On Green's functions and positive solutions for boundary value problems on time scales
• A second-order singular three-point boundary value problem.
• Singular nonlinear boundary value problems for second-order ordinary differential equations
• The quasilinearization method for boundary value problems on time scales
• Approximation of Solutions of Singular Second Order Boundary Value Problems
• Singular nonlinear boundary value problems for higher order ordinary differential equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Notes on Crossed Symmetry Solutions of the Two-point Boundary Value Problems on Time Scales
• Some Singular Nonlinear Boundary Value Problems
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