Almost automorphy for bounded solutions to second-order neutral differential equations with piecewise constant arguments

Autor: Chuan-Hua Chen, Hong-Xu Li
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2013, Iss 140,, Pp 1-16 (2013)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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 $$ (x(t)+px(t-1))''=qx([t])+f(t),quad tinmathbb{R}, $$ where [.] denotes the greatest integer function, $p, q$ are nonzero constants, and f(t) is almost automorphic. Some examples illustrate our results.
Databáze: Directory of Open Access Journals