Global existence and boundedness of a certain nonlinear vector integro differential equation of second order with multiple deviating arguments

Timur Ayhan; Yusuf Sofuoglu

Vol. 22 No. 2 (2017)

Regular Articles

Global existence and boundedness of a certain nonlinear vector integro differential equation of second order with multiple deviating arguments

Published 2017-01-19

Timur Ayhan
Yusuf Sofuoglu

Timur Ayhan
Siirt University

Yusuf Sofuoglu

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Abstract

In this study, we consider a vector integro differential equation with the multiple deviating arguments.Based on the Lyapunov-Krasovskii functional approach, the global existence and boundedness of all solutions are discussed. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method used here.

Keywords

Integro-differential equation, delay, global existence, boundedness.

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Author Biography

Timur Ayhan

Assistant Prof. Dr. Timur AyhanDepartment of Primary School-Mathematics Faculty of Education Siirt University, 56100, Siirt