Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term

Ozdemir, Orhan; Binbasioglu, Demet

doi:10.22034/cmde.2023.55524.2310

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	Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term
Computational Methods for Differential Equations
مقاله 14، دوره 11، شماره 4، مهر 2023، صفحه 851-864 اصل مقاله (353.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55524.2310
نویسندگان
Orhan Ozdemir^* ؛ Demet Binbasioglu
Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpa\c{s}a University, 60240, Tokat, Turkey.
چکیده
In this study, we aim to contribute to the increasing interest in functional differential equations by obtaining new existence theorems for non-oscillatory solutions of second-order neutral differential equations involving positive and negative terms which have not been performed in previous studies. We consider different cases for the ranges of the neutral coefficients, by utilizing the Banach contraction mapping principle. The applicability of the results is illustrated by several examples in the last section.
کلیدواژه‌ها
Neutral differential equations؛ Fixed point؛ Nonoscillatory solution

مراجع
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Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term