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
References
- [1] Yang A., Zhang Z., Ge W., Existence of nonoscillatory solutions of second-order nonlinear neutral differential equations, Indian J. Pure Appl. Math., 39 (3) (2008).
- [2] Candan T., and Dahiya R. S., Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J. Franklin Inst., 3 (47) (2010) 1309-1316.
- [3] Candan T., Existence of Nonoscillatory Solutions of Higher Order Neutral Differential Equations, Filomat, 30 (8) (2016) 2147-2153.
- [4] Li T., Pintus N., Viglialoro G., Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys., 70 (3) (2019) 1-18.
- [5] Li T., Rogovchenko Yu. V., On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett., 105 (2020) 1-7.
- [6] Candan T., Dahiya R. S., Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments, Math. Slovaca, 6 3(1) (2013) 183-190.
- [7] Candan T., Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 3 9 (2015), 67-72.
- [8] Tian Y., Cai Y., Li T., Existence of nonoscillatory solutions to second-order nonlinear neutral difference equations, J. Nonlinear Sci. Appl., 8 (2015) 884-892.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 30, 2021
Submission Date
November 14, 2020
Acceptance Date
April 26, 2021
Published in Issue
Year 1970 Volume: 42 Number: 2
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