Anti-periodic boundary value problems for nonlinear higher order impulsive differential equations

作者：Liu, Yuji^*; Gui, Zhanji

来源：Taiwanese Journal of Mathematics, 2008, 12(2): 401-417.

• anti-periodic boundary value problem
• higher order impulsive differential equation
• fixed-point theorem
• growth condition

This paper is concerned with the anti-periodic boundary value problems for nonlinear higher order impulsive differential equations @@@ { x((n))(t) = f(t, x(t), x'(t), ... ,x((n-1))(t)), t is an element of[0, T], t not equal t(k), k = 1, ...,p, @@@ Delta x((i))(t(k)) = I-i,I-k(x(t(k)), x'(t(k)), ..., x((n-1))(t(k))), k =1, ..., p, i = 0, ..., n-1, @@@ x((i))(0) = -x((i))(T), i = 0, ..., n-1, @@@ We obtain sufficient conditions for the existence of at least one solution. Examples are presented to illustrate the main results.

• 出版日期2008-4
• 单位海南师范大学; 广东财经大学