Anti-periodic solutions of nonlinear first order impulsive functional differential equations

作者：Liu, Yuji^*

来源：Mathematica Slovaca, 2012, 62(4): 695-720.

DOI：10.2478/s12175-012-0039-4

• anti-periodic solution
• impulsive functional differential equation
• fixed-point theorem
• growth condition

The existence of anti-periodic solutions of the following nonlinear impulsive functional differential equations @@@ x'(t) + a(t) x(t) = f(t, x(t), x(alpha(1)(t)),..., x(alpha(n)(t))), t is an element of R, @@@ Delta x(t(k)) = I-k(x(t(k))), k is an element of Z @@@ is studied. Sufficient conditions for the existence of at least one anti-periodic solution of the mentioned equation are established. Several new existence results are obtained.

• 出版日期2012-8
• 单位广东财经大学