Almost Automorphic Solutions of N-th Order Neutral Differential Difference Equations with Piecewise Constant Arguments

ZHUANG Rong-Kun

（School of Mathematics and Data Science, Huizhou University, Huizhou 516007, Guangdong China）

Almost Automorphic Solutions of N-th Order Neutral Differential Difference Equations with Piecewise Constant Arguments

ZHUANG Rong-Kun

（School of Mathematics and Data Science, Huizhou University, Huizhou 516007, Guangdong China）

We present some conditions for the existence and uniqueness of almost automorphic solutions of N-th order neutral differential difference equations with piecewise constant of the form (x(t) + px(t - 1))N = qx([t - 1]) + f(t); here [・] is the greatest integer function, p and q are nonzero constants, and f(t) is almost automorphic.

almost automorphic functions; almost automorphic sequences; piecewise constant arguments; neutral differential difference equations.

CLC nonumber : O175.1 Document code : A Article ID :1671 - 5934（2016）06 - 0001 - 09

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具有分段常变量的N阶中立型微分差分方程的概自守解

庄容坤

（惠州学院 数学与大数据学院， 广东 惠州 516007）

本文研究了一类具有分段常变量的N阶中立型微分着分方程，给出了方程概自守解的存在唯一性条件.

概自守函数；概自守序列；分段常变量；中立型微分着分方程

O175.1 文献编识码：A

1671 - 5934（2016）06 - 0001 - 09

2016 - 11 - 20

国家自然科学基金项目(11271380，11501238); 广东省自然科学基金项目(2014A030313641, 2016A030313119) ;广东省教育厅重大项目(2014KZDXM070)

庄容坤(1964 - ), 男, 广东汕头人, 教授, 研究方向为微分方程.