Asymptotic properties of solutions of fourth-order delay differential equations

In the paper, we study the oscillation of fourth-order delay differential equations, the present authors used a Riccati transformation and the comparison technique for the fourth order delay differential equation, and that was compared with the oscillation of the certain second order differential equation. Our results extend and improve many well-known results for oscillation of solutions to a class of fourth-order delay differential equations. Some examples are also presented to test the strength and applicability of the results obtained. © 2019 by the authors.

Authors
Cesarano C. 1 , Pinelas S. 2 , Al-Showaikh F. 3 , Bazighifan O. 4
Journal
Publisher
MDPI AG
Issue number
5
Language
English
State
Published
Number
628
Volume
11
Year
2019
Organizations
  • 1 Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, Roma, 00186, Italy
  • 2 RUDN University, 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
  • 3 Department of Mathematics, Faculty of Science, University of Bahrain, Zallaq, 1051, Bahrain
  • 4 Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout, 50512, Yemen
Keywords
Delay differential equations; Fourth-order; Nonoscillatory solutions; Oscillatory solutions
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