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Open Access Research Article

Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces

Pengyu Chen

Author Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Boundary Value Problems 2011, 2011:421261  doi:10.1155/2011/421261

Published: 21 September 2010

Abstract

This paper deals with the existence of -quasi-solutions for impulsive periodic boundary value problems in an ordered Banach space . Under a new concept of upper and lower solutions, a new monotone iterative technique on periodic boundary value problems of impulsive differential equations has been established. Our result improves and extends some relevant results in abstract differential equations.