Nonlinear neutral delay differential equations of fourth-order: Oscillation of solutions

The objective of this paper is to study oscillation of fourth-order neutral differential equa-tion. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Авторы
Agarwal R.P.1 , Bazighifan O.2, 3 , Ragusa M.A. 4, 5
Журнал
Entropy
Номер выпуска
2
Язык
Английский
Страницы
1-10
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.3390/E23020129
Номер
129
Том
23
Год
2021
Организации
  • 1 Department of Mathematics, Texas A and M University, Kingsville, TX 78363, United States
  • 2 Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout, 50512, Yemen
  • 3 Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout, 50512, Yemen
  • 4 Department of Mathematics and Computer Science, University of Catania, Catania, 95124, Italy
  • 5 RUDN University, 6 Miklukho, Maklay St, Moscow, 117198, Russian Federation
Ключевые слова
Fourth-order differential equation; Neutral differential equations; Oscillation; P-Laplacian equations
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