ON ALMOST AUTOMORPHIC SOLUTIONS OF THIRD-ORDER NEUTRAL DELAY-DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

• 作者: Hongwu Wu Rongkun Zhuang
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2016,（4）
• 页码范围: 429-438
• 页数: 10页
• 分类号: O1

摘要

We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form(x(t) + px(t-1))′′′= a0x([t]) + a_1x([t-1]) + f(t),where [·] is the greatest integer function,p,a0 and a1are nonzero constants,and f(t) is almost automorphic.