Existence of nonoscillatory solutions of second-order neutral differential equations

M. Tamer Senel; Bengü Çına

doi:10.17776/csj.826062

EN

Existence of nonoscillatory solutions of second-order neutral differential equations

Abstract

In this study we shall obtain some sufficient conditions for the existence of positive solutions of variable coefficient nonlinear second-order neutral differential equation with distributed deviating arguments. For some different cases of the range of p(t) by using Banach contraction principle we will give some sufficient conditions for the nonoscillatory solutions of second-order neutral differential equation. With this purpose we will use fixpoint theorem. At the end of the research, there is an example that meets the conditions we have given. Our results improve and extend some existing results.

Keywords

Nonoscillatory solutions, Fix point, Second-order

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M. Tamer Senel
0000-0003-1915-5697
Türkiye

Bengü Çına ^*
0000-0003-1294-0983
Türkiye

Publication Date

June 30, 2021

Submission Date

November 14, 2020

Acceptance Date

April 26, 2021

Published in Issue

Year 2021 Volume: 42 Number: 2

DOI

https://doi.org/10.17776/csj.826062

IZ

https://izlik.org/JA88DE55LS

APA

Senel, M. T., & Çına, B. (2021). Existence of nonoscillatory solutions of second-order neutral differential equations. Cumhuriyet Science Journal, 42(2), 327-332. https://doi.org/10.17776/csj.826062

AMA

1.Senel MT, Çına B. Existence of nonoscillatory solutions of second-order neutral differential equations. CSJ. 2021;42(2):327-332. doi:10.17776/csj.826062

Chicago

Senel, M. Tamer, and Bengü Çına. 2021. “Existence of Nonoscillatory Solutions of Second-Order Neutral Differential Equations”. Cumhuriyet Science Journal 42 (2): 327-32. https://doi.org/10.17776/csj.826062.

EndNote

Senel MT, Çına B (June 1, 2021) Existence of nonoscillatory solutions of second-order neutral differential equations. Cumhuriyet Science Journal 42 2 327–332.

IEEE

[1]M. T. Senel and B. Çına, “Existence of nonoscillatory solutions of second-order neutral differential equations”, CSJ, vol. 42, no. 2, pp. 327–332, June 2021, doi: 10.17776/csj.826062.

ISNAD

Senel, M. Tamer - Çına, Bengü. “Existence of Nonoscillatory Solutions of Second-Order Neutral Differential Equations”. Cumhuriyet Science Journal 42/2 (June 1, 2021): 327-332. https://doi.org/10.17776/csj.826062.

JAMA

1.Senel MT, Çına B. Existence of nonoscillatory solutions of second-order neutral differential equations. CSJ. 2021;42:327–332.

MLA

Senel, M. Tamer, and Bengü Çına. “Existence of Nonoscillatory Solutions of Second-Order Neutral Differential Equations”. Cumhuriyet Science Journal, vol. 42, no. 2, June 2021, pp. 327-32, doi:10.17776/csj.826062.

Vancouver

1.M. Tamer Senel, Bengü Çına. Existence of nonoscillatory solutions of second-order neutral differential equations. CSJ. 2021 Jun. 1;42(2):327-32. doi:10.17776/csj.826062

Cited By

Exploring Nonoscillatory Solutions in Second-Order Neutral Differential Equations with Distributed Deviating Arguments

Gazi University Journal of Science

https://doi.org/10.35378/gujs.1438589

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