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Volume 8
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Article

Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay

by
Clemente Cesarano
1,* and
Omar Bazighifan
2
1
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
2
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(2), 61; https://doi.org/10.3390/axioms8020061
Submission received: 20 April 2019 / Revised: 8 May 2019 / Accepted: 10 May 2019 / Published: 18 May 2019
(This article belongs to the Special Issue Special Functions and Their Applications)
Versions Notes

Abstract

In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the fourth order delay differential equations. Some new oscillatory criteria are obtained by using the generalized Riccati transformations and comparison technique with first order delay differential equation. Our results extend and improve many well-known results for oscillation of solutions to a class of fourth-order delay differential equations. The effectiveness of the obtained criteria is illustrated via examples.
Keywords: fourth-order; oscillatory solutions; delay differential equations fourth-order; oscillatory solutions; delay differential equations

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MDPI and ACS Style

Cesarano, C.; Bazighifan, O. Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay. Axioms 2019, 8, 61. https://doi.org/10.3390/axioms8020061

AMA Style

Cesarano C, Bazighifan O. Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay. Axioms. 2019; 8(2):61. https://doi.org/10.3390/axioms8020061

Chicago/Turabian Style

Cesarano, Clemente, and Omar Bazighifan. 2019. "Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay" Axioms 8, no. 2: 61. https://doi.org/10.3390/axioms8020061

APA Style

Cesarano, C., & Bazighifan, O. (2019). Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay. Axioms, 8(2), 61. https://doi.org/10.3390/axioms8020061

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