Russian Engineering Research.
Vol. 39.
2019.
P. 848-851
Necessary and sufficient conditions for oscillation of nonlinear first-order forced differential equations with several delays of neutral type
In this work, necessary and sufficient conditions are obtained such that every solution of nonlinear neutral first-order differential equations with several delays of the form (Equation presented) is oscillatory or tends to zero as t → ∞. This problem is considered in various ranges of the neutral coefficient r. Finally, some illustrating examples are presented to show that feasibility and effectiveness of main results. © 2019 Walter de Gruyter GmbH, Berlin/Boston 2019.
Authors
Pinelas S.
1
,
Santra S.S.2
Journal
Publisher
De Gruyter
Number of issue
3
Language
English
Pages
97-105
Status
Published
Link
Volume
39
Year
2019
Organizations
- 1 RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
- 2 Department of Mathematics, Sambalpur University, Sambalpur, 768019, India
Keywords
Banach fixed point theorem; delay; neutral differential equations; nonlinear; nonoscillation; Oscillation
Date of creation
24.12.2019
Date of change
24.12.2019
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