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
Existence of uncountably many bounded positive solutions for a third order nonlinear neutral delay difference equation
β Scribed by Zeqing Liu; Lili Wang; Gang Il Kim; Shin Min Kang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 343 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
This paper deals with the solvability of the third order nonlinear neutral delay difference equation
Using the Krasnoselskii's fixed point theorem and Schauder's fixed point theorem, a few sufficient conditions of the existence of uncountably many bounded positive solutions for the equation are presented. Seven examples are included to demonstrate the advantages and effectiveness of the results presented in this paper.
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