Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

Authors:
Heng-you Lan
Affiliations:
Department of Mathematics, Sichuan University of Science & Engineering, Zigong, Sichuan 643000, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 13
Cited 2

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Abstract

In this paper, by using a monotone iterative technique in the presence of lower and upper solutions, we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. Under wide monotonicity conditions and the noncompactness measure conditions, we also obtain the existence of extremal solutions and a unique solution between lower and upper solutions.