Article ID Journal Published Year Pages File Type
4622116 Journal of Mathematical Analysis and Applications 2007 12 Pages PDF
Abstract

In this paper, we give an analogue of the Arzela–Ascoli theorem on time scales. Then, we establish the existence of nonoscillatory solutions to the neutral dynamic equation Δ[x(t)+p(t)x(g(t))]+f(t,x(h(t)))=0 on a time scale. To dwell upon the importance of our results, three interesting examples are also included.

Related Topics
Physical Sciences and Engineering Mathematics Analysis