The solutions of initial value problems for nonlinear fourth-order impulsive integro-differential equations in banach spaces

Authors:
Zhang Lingling;Yin Jingyi;Liu Junguo
Affiliations:
Department of Mathematics of Tai Yuan University of Technology, Taiyuan, Shanxi, P.R. China;Department of Mathematics of Tai Yuan University of Technology, Taiyuan, Shanxi, P.R. China;Department of Mathematics of Tai Yuan University of Technology, Taiyuan, Shanxi, P.R. China
Venue:
WSEAS Transactions on Mathematics
Year:
2012

Citing 3
Cited 0

Second order impulsive integro-differential equations on unbounded domains in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications
Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications
Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we investigate the maximal and minimal solutions for initial value problem of fourth order impulsive differential equations by using cone theory and the monotone iterative method to some existence results of solution are obtained. As an application, we give an example to illustrate our results.