tailieunhanh - báo cáo hóa học:" Research Article Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces | Hindawi Publishing Corporation Boundary Value Problems Volume 2011 Article ID 421261 13 pages doi 2011 421261 Research Article Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces Pengyu Chen Department of Mathematics Northwest Normal University Lanzhou 730070 China Correspondence should be addressed to Pengyu Chen chpengyu123@ Received 20 April 2010 Accepted 15 September 2010 Academic Editor Feliz Manuel Minhos Copyright 2011 Pengyu Chen. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper deals with the existence of L-quasi-solutions for impulsive periodic boundary value problems in an ordered Banach space E. 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. 1. Introduction The theory of impulsive differential equations is a new and important branch of differential equation theory which has an extensive physical chemical biological and engineering background and realistic mathematical model and hence has been emerging as an important area of investigation in the last few decades see 1 . Correspondingly applications of the theory of impulsive differential equations to different areas were considered by many authors and some basic results on impulsive differential equations have been obtained see 2-5 . But many of them are about impulsive initial value problem see 2 3 and the references therein. The research on impulsive periodic boundary value problems is seldom see 4 5 . In this paper we use a monotone iterative technique in the presence of coupled lower and upper L-quasisolutions to discuss the existence of solutions to .

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