On the Qualitative Analyses of Integro-Differential Equations with Constant Time Lag

Authors

Osman Tunc ̧, Department of Mathematics, Faculty of Science, Van Yuzuncu Yil University, 65080, Van, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In this article, some new investigations are done on stability, asymptotically stability and instability of the zero solution and boundedness, integrability of solutions and integrability of derivatives of solutions of certain nonlinear Volterra delayed integro- differential equations (DIDEs) by using the Lyapunov’s functional method. To fulfill the aim of this work, three meaningful Lyapunov functionals are defined as main tools. Then, five new results are given on the mentioned qualitative properties of solutions of the considered DIDEs. Our results have contributions to the relevant literature and they have sufficient conditions. They include and improve some former results that can be found in [1].

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140107

Recommended Citation

Tunc ̧, Osman (2020) "On the Qualitative Analyses of Integro-Differential Equations with Constant Time Lag," Applied Mathematics & Information Sciences: Vol. 14: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/amis/140107
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss1/7