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.

Authors
Agarwal R.P.1 , Bazighifan O.2, 3 , Ragusa M.A. 4, 5
Journal
Entropy
Number of issue
2
Language
English
Pages
1-10
Status
Published
Link
External link
DOI
10.3390/e23020129
Number
129
Volume
23
Year
2021
Organizations
  • 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
Keywords
Fourth-order differential equation; Neutral differential equations; Oscillation; P-Laplacian equations
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/71889/
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