Chuan-Hua Chen, Hong-Xu Li
Abstract:
By introducing the method of decomposition of almost automorphic sequence,
we give some results on the almost automorphy of bounded solutions for
the second-order neutral differential equations with piecewise constant
argument
where [.] denotes the greatest integer function, p, q
are nonzero constants, and f(t) is almost automorphic.
Some examples illustrate our results.
Submitted January 8, 2013. Published June 21, 2013.
Math Subject Classifications: 34K40
Key Words: Almost automorphic; neutral differential equation; bounded solution;
piecewise constant argument.
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Chuan-Hua Chen Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, China email: chenchuanhua8@163.com | |
Hong-Xu Li Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, China email: hoxuli@sina.com |
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