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Mathematical Communications, Vol. 22 No. 2, 2017.

Original scientific paper

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

Timur Ayhan ; Department of Primary School-Mathematics, Faculty of Education, Siirt University, Turkey
Yusuf Sofuoglu ; Department of Primary School-Mathematics, Faculty of Education, Siirt University, Turkey

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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

Hrčak ID:

185968

URI

https://hrcak.srce.hr/185968

Publication date:

4.12.2017.

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