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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
Institution:a Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, PR China
b School of Science, Beijing Information Science & Technology University, Beijing, 100192, PR China
c Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China
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.
Keywords:34B15
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