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Existence of bounded nonoscillatory solutions of first-order nonlinear neutral delay differential equations

✍ Scribed by Zeqing Liu; Shin Min Kang; Jeong Sheok Ume

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
385 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 importance and advantages of our results, seven nontrivial examples are included.

πŸ“œ SIMILAR VOLUMES

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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 t

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