A second-order boundary value problem with impulsive effects on an unbounded domain

DOI10.1016/J.NA.2007.08.061zbMath1159.34023OpenAlexW1999803377MaRDI QIDQ949717

Eric R. Kaufmann, Youssef N. Raffoul, Nickolai Kosmatov

Publication date: 21 October 2008

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.2007.08.061

zbMATH Keywords

unbounded domaincontraction principleboundary value problemimpulsesecond order equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Boundary value problems with impulses for ordinary differential equations (34B37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (21)

Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions ⋮ Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line ⋮ Multiple solutions for a Kirchhoff-type second-order impulsive differential equation on the half-line ⋮ Impulsive boundary value problem for differential equations with fractional order ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive system mixed type boundary value problems ⋮ An application of variational method to second-order impulsive differential equation on the half-line ⋮ The existence and multiplicity of solutions for second-order impulsive differential equations on the half-line ⋮ Variational approach to a class of impulsive differential equations ⋮ New results for perturbed second-order impulsive differential equation on the half-line ⋮ Variational approaches to Kirchhoff-type second-order impulsive differential equations on the half-line ⋮ Multiple positive solutions to multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects ⋮ Variational approach to second-order impulsive dynamic equations on time scales ⋮ The existence of solutions for impulsive \(p\)-Laplacian boundary value problems at resonance on the half-line ⋮ Multiplicity of positive solutions to \(M\)-point boundary value problem of second order impulsive differential equations ⋮ Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equation with impulses on the half line ⋮ New existence results for periodic boundary value problems with impulsive effects ⋮ Existence result for impulsive coupled systems on the half-line ⋮ Impulsive periodic boundary value problems for dynamic equations on time scale ⋮ Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line ⋮ Variational approach to some damped Dirichlet problems with impulses ⋮ New results for some damped Dirichlet problems with impulses

Cites Work

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• Krasnoselskii's fixed point theorem for weakly continuous maps.
• Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach
• A class of second-order impulsive integro-differential equations on unbounded domain in a Banach space
• Periodic solutions for a second order nonlinear functional differential equation
• Existence of positive solutions for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces
• Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line
• Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in Banach spaces
• Some problems of nonlinear analysis

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