Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces

Authors:
Xuemei Zhang;Meiqiang Feng;Weigao Ge
Affiliations:
Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, PR China and Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China;School of Science, Beijing Information Science & Technology University, Beijing, 100192, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

This paper investigates the existence of solutions for a class of second-order boundary-value problems with integral boundary conditions of nonlinear impulsive integro-differential equations in Banach spaces. The arguments are based upon the fixed point theorem of strict set contraction operators. Meanwhile, an example is worked out to demonstrate the main results.