tailieunhanh - báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval"

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 Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval | Hindawi Publishing Corporation Boundary Value Problems Volume 2011 Article ID 684542 15 pages doi 2011 684542 Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval Xuemei Zhang 1 Xiaozhong Yang 1 and Meiqiang Feng2 1 Department of Mathematics and Physics North China Electric Power University Beijing 102206 China 2 School of Applied Science Beijing Information Science and Technology University Beijing 100192 China Correspondence should be addressed to Xuemei Zhang zxm74@ Received 20 May 2010 Accepted 19 July 2010 Academic Editor Gennaro Infante Copyright 2011 Xuemei Zhang et al. 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. The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary conditions with no impulsive effects or the boundary conditions with impulsive effects on a finite interval with a finite number of impulsive times so our work is new. Meanwhile an example is worked out to demonstrate the main results. 1. Introduction The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments. Processes with such a character arise naturally and often especially in phenomena studied in physics chemical technology population dynamics biotechnology and economics. The theory of impulsive differential equations has become an important area of investigation in the recent years and is much richer than the corresponding theory of differential