Infinite boundary value problems for \(n\)th-order nonlinear impulsive integro-differential equations in Banach spaces

DOI10.1016/J.NA.2006.09.031zbMath1124.45008OpenAlexW2040057774MaRDI QIDQ2643460

Li Shan Liu, Zhenbin Liu, Yong-Hong Wu

Publication date: 23 August 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.09.031

zbMATH Keywords

nonnegative solutionsMönch fixed point theoreminfinite boundary value problem\(n\)th-order nonlinear impulsive integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Abstract integral equations, integral equations in abstract spaces (45N05) Positive solutions of integral equations (45M20)

Related Items (16)

Multiple solutions of boundary value problems for \(n\)th-order singular nonlinear integrodifferential equations in abstract spaces ⋮ Transformation technique, fixed point theorem and positive solutions for second-order impulsive differential equations with deviating arguments ⋮ Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations ⋮ Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator ⋮ Computation of positive solutions for nonlinear impulsive integral boundary value problems with \(p\)-Laplacian on infinite intervals ⋮ Positive fixed point of strict set contraction operators on ordered Banach spaces and applications ⋮ Positive solutions for \((k, n - k)\) conjugate multipoint boundary value problems in Banach spaces ⋮ Positive solutions of an infinite boundary value problem for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces ⋮ New results for perturbed second-order impulsive differential equation on the half-line ⋮ Positive solutions of an infinite boundary value problem for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces ⋮ Transformation techniques and positive solutions on a parameter for three-point impulsive differential equations ⋮ Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations ⋮ Positive solutions for \(n\)th-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banach spaces ⋮ Positive solutions for \((k,n - k)\) conjugate boundary value problems in Banach spaces ⋮ On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations ⋮ Positive solutions of \(n\)th-order impulsive boundary value problems with integral boundary conditions in Banach spaces

Cites Work

• Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces
• Multiple positive solutions for \(n\)th-order impulsive integro-differential equations in Banach spaces
• Boundary value problems for second-order differential equations on unbounded domains in a Banach space.
• Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces
• Existence of solutions for \(n\)th order impulsive integro-differential equations in a Banach space.
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