Oscillation theorems for fourth-order hybrid nonlinear Functional dynamic equations with damping

Authors

  • A. Benaissa Cherif University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB)
  • M. Fethallah University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB)
  • F.Z. Ladrani Higher Training Teacher's School of Oran (ENSO), Algeria

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.5

Keywords:

Oscillation, Fourth Order, Hybrid Differential Equation, Riccati Technique

Abstract

In this paper, we will establish some oscillation criteria for the fourth-order hybrid nonlinear functional dynamic equations with damping. The authors present new oscillation criteria to check whether all solutions of an equation, in this class, oscillate. This study aims to present some new suffcient conditions for the oscillatory of solutions to a class of fourth-order hybrid nonlinear functional dynamic equations by use of Riccati technique and other methods. Illustrative examples are also provided.

Author Biographies

A. Benaissa Cherif, University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB)

Department of Mathematics, Faculty of Mathematics and Informatics, El Mnaouar, BP 1505, Bir El Djir, Oran, 31000

M. Fethallah, University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB)

Department of Mathematics, Faculty of Mathematics and Informatics, El Mnaouar, BP 1505, Bir El Djir, Oran, 31000

F.Z. Ladrani, Higher Training Teacher's School of Oran (ENSO), Algeria

Department of Mathematics

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Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS