EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS

In this work, an attempt is made to discuss the existence of nonoscillatory solutions of second order nonlinear neutral differential equations with variable delays. The main tools are Lebesgue's dominated convergence theorem and Banach contraction principle to obtain new sufficient conditions f...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 589
Main Author Santra, Shyam Sundar
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.07.2019
Elman Hasanoglu
Subjects
Convergence (Mathematics)
Differential equations
Mathematical analysis
Mathematical research
Nonlinear differential equations
Nonlinear equations
India
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Summary:In this work, an attempt is made to discuss the existence of nonoscillatory solutions of second order nonlinear neutral differential equations with variable delays. The main tools are Lebesgue's dominated convergence theorem and Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions. This problem is considered in various ranges of the neutral coefficient. Further, two illustrative examples showing applicability of the new results are included. Keywords: Existence of positive solutions, neutral, delay, non-linear, Lebesgue's dominated convergence theorem, Banach's fixed point theorem. AMS Subject Classification: 34C10, 34C15, 34K40.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2146-1147
2146-1147