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Cemil Tunc
Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van 65080
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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On the Global Existence and Boundedness of Solutions of a Certain Integro-Vector Differential Equation of Second Order Cemil Tunc; Timur Ayhan
Journal of Mathematical and Fundamental Sciences Vol. 50 No. 1 (2018)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2018.50.1.1

Abstract

In this paper, we consider a nonlinear integro-vector differential equation of the second order. We establish sufficient conditions that guarantee the global existence and boundedness of solutions of the equation considered. The method of proof involves constructing a suitable Lyapunov functional that gives meaningful results for the problem to be investigated. The result obtained is new and complements that found in the literature. We give an example to verify the result obtained and for illustration purposes. Using MATLAB-Simulink, the behaviors of the orbits of the equation considered are clearly shown.
Co-Authors Timur Ayhan