Necessary and sufficient condition for oscillation of nonlinear neutral first-order differential equations with several delays

In this work, necessary and sufficient conditions for oscillations of the solutions of a class of nonlinear neutral first-order differential equations with several delays of the form (Formula presented.) are established under various ranges of r(t). Our main tools are Knaster–Tarski fixed point theorem and Banach’s fixed point theorem. Finally, some illustrating examples are presented to show that feasibility and effectiveness of main results. © 2018, Springer International Publishing AG, part of Springer Nature.

Авторы
Pinelas S. 1 , Santra S.S.2
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
27
Том
20
Год
2018
Организации
  • 1 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
  • 2 Department of Mathematics, Sambalpur University, Sambalpur, 768019, India
Ключевые слова
delay; neutral differential equations; non-linear; nonoscillation; Oscillation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6787/
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