On the Oscillatory Behavior of Some Qeneralized Differential Equation-Reference-Cited by-同舟云学术

On the Oscillatory Behavior of Some Qeneralized Differential Equation

Published:2021-01-21 Issue: Volume: Page:73-82
ISSN:1016-2526
Container-title:Punjab University Journal of Mathematics
language:en
Short-container-title:Punjab Univ. j. math.

Author:

Napoles Valdes´ Juan E.¹,Gasimov Yusif S.²,Aliyeva Aynura R.³

Affiliation:

1. UNNE, FaCENA Corrientes 3400, Argentina

2. Azerbaijan University, Jeyhun Hajibeyli str., 71, AZ1007 Baku, Azerbaijan

3. Sumgayit State University, Baku str., 1, AZ5008 Sumgayit , Azerbaijan

Abstract

In this article, using the Riccati-type transformation, we study the oscillatory nature of the solutions of the generalized differential equation and give some criteria of the Kamenev type that generalizes several well-known results on the topic.

Publisher

Department of Mathematics, University of the Punjab

Subject

Pharmacology (medical)

Reference55 articles.

1. L. Aghamaliyeva, Y. Gasimov, J. E. Napoles Valdes, ´ On a generalization of the Wirtinger inequality and some its applications, Studia Universitatis Babe-Bolyai Mathematica, to appear.

2. N. Aguila Camacho, M. A. Duarte Mermoud, J. A. Gallegos,Lyapunov functions for fractional order systems, Commun Nonlinear Sci Numer Simulat 19 (2014) 2951-2957.

3. N. Aguila Camacho, M. A. Duarte Mermoud, Boundedness of the solutions for certain classes of fractional differential equations with application to adaptive systems, ISA Transactions 60 (2016) 82–88.

4. A. Atangana, Derivative with a New Parameter Theory, Methods and Applications, Academic Press, (2016).

5. D. Baleanu, COMMENTS ON: Ortigueira M., Martynyuk V., Fedula M., Machado J.A.T., The failure of certain fractional calculus operators in two physical models, in Fract. Calc. Appl. Anal., 22,No.2(2019) textitFract. Calc. Appl. Anal., Volume 23: Issue 1, DOI: https://doi.org/10.1515/fca-2020-0012.