Existence of nonoscillatory solutions for higher order neutral dynamic equations on time scales

In this paper, we consider higher order nonlinear neutral dynamic equation on time scales. Some sufficient conditions are obtained for existence of a nonoscillatory solution for the higher order equation by using fixed point theory and defining the compressed injection on a set.

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2008-08, Vol.28 (1-2), p.29-38
Main Authors: Zhang, Zhenguo, Dong, Wenlei, Li, Qiaoluan, Liang, Haiyan
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Mathematical and Computational Engineering
Mathematical functions
Mathematics
Mathematics and Statistics
Mathematics of Computing
Studies
Theory
Theory of Computation
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Description
Summary:In this paper, we consider higher order nonlinear neutral dynamic equation on time scales. Some sufficient conditions are obtained for existence of a nonoscillatory solution for the higher order equation by using fixed point theory and defining the compressed injection on a set.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-008-0067-y