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Existence of nonoscillatory solutions of first-order linear neutral delay differential equations

✍ Scribed by Weiping Zhang; Wei Feng; Juran Yan; Jinsheng Song


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
308 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis


In this paper, the existence of nonoscillatory solutions of the first-order neutral delay differential equations with variable coefficients and delays are studied. Some new sufficient conditions are given. In particular, conditions given in this paper are weaker than those known, so the results in this paper have wide~ application than the existing ones. (~) 2005 Elsevier Ltd. All rights reserved.


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Existence of bounded nonoscillatory solu
✍ Zeqing Liu; Shin Min Kang; Jeong Sheok Ume πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 385 KB

The aim of this paper is to study the following first-order nonlinear neutral delay differential equation By using the Schauder and Krasnoselskii fixed point theorems, we establish the existence of uncountably many bounded nonoscillatory solutions for the above equation. To dwell upon the importanc