Existence result for impulsive differential equations with integral boundary conditions

DOI10.1155/2013/134691zbMath1285.34017OpenAlexW2089372425WikidataQ58915331 ScholiaQ58915331MaRDI QIDQ369710

Qian Huan, Wei Ding, Peipei Ning

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/134691

zbMATH Keywords

boundary value problemsfixed point indeximpulsive differential equationsintegral boundary conditions

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (5)

Impulsive boundary value problems with Riemann-Stieltjes \(\Delta\)-integral conditions and \(p\)-Laplacian operator on timescales ⋮ Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ Parameter dependence of positive solutions for second-order singular Neumann boundary value problems with impulsive effects ⋮ Positive solutions for classes of multi-parameter fourth-order impulsive differential equations with one-dimensional singular \(p\)-Laplacian ⋮ Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions

Cites Work

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• Eigenvalue criteria for existence of positive solutions of impulsive differential equations with non-separated boundary conditions
• Existence and multiplicity of positive solutions for nonlinear boundary value problems with a parameter
• Eigenvalues and positive solutions of ODEs involving integral boundary conditions
• Existence and multiplicity results for nonlinear periodic boundary value problems
• New result for a class of impulsive differential equation with integral boundary conditions
• Positive solutions of a second-order integral boundary value problem
• Second-order boundary value problems with integral boundary conditions
• Second order impulsive integro-differential equations on unbounded domains in Banach spaces11Research supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China.
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

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