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February 2021 Different techniques for studying oscillatory behavior of solution of differential equations
Omar Bazighifan, Rami Ahmad El-Nabulsi
Rocky Mountain J. Math. 51(1): 77-86 (February 2021). DOI: 10.1216/rmj.2021.51.77

Abstract

The aim of this work is to study oscillatory behavior of solutions for a fourth-order neutral nonlinear differential equation (b(x)(wm1(x))γ)+i=1jqi(x)f(w(gi(x)))=0, xx0. The results obtained are based on the Riccati transformation, integral averaging technique and the theory of comparison with second-order delay equations. The obtained results complements and generalize the earlier ones. Some examples are illustrated to show the applicability of the obtained results.

Citation

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Omar Bazighifan. Rami Ahmad El-Nabulsi. "Different techniques for studying oscillatory behavior of solution of differential equations." Rocky Mountain J. Math. 51 (1) 77 - 86, February 2021. https://doi.org/10.1216/rmj.2021.51.77

Information

Received: 28 March 2020; Revised: 13 July 2020; Accepted: 13 July 2020; Published: February 2021
First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/rmj.2021.51.77

Subjects:
Primary: 34K11

Keywords: advanced differential equations , even-order , nonoscillatory solutions , ‎oscillation‎

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.51 • No. 1 • February 2021
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