IJPAM: Volume 48, No. 3 (2008)

ANTI-PERIODIC BOUNDARY VALUE PROBLEMS FOR
HIGHER-DIMENSIONAL IMPULSIVE FUNCTIONAL
DIFFERENTIAL EQUATIONS ON TIME SCALES

Lili Zhao$^1$, Yongkun Li$^2$
$^{1,2}$Department of Mathematics
Yunnan University
Kunming, Yunnan, 650091, P.R. CHINA
$^1$e-mail: llzhao@ynu.edu.cn
$^2$e-mail: yklie@ynu.edu.cn


Abstract.In this paper, we consider the existence of extremal solutions for a class of higher-order impulsive functional differential equations with anti-periodic boundary value conditions on time scales by establishing a comparison result and using the monotone iterative technique.

Received: September 10, 2008

AMS Subject Classification: 26A33

Key Words and Phrases: impulsive functional differential equation, time scales, anti-periodic boundary value problem, monotone iterative technique

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 3