Journal of Applied Nonlinear Dynamics
Uniformly Boundedness in Nonlinear Volterra IntegroDifferential Equations with Delay
Journal of Environmental Accounting and Management 8(2) (2019) 279290  DOI:10.5890/JAND.2019.06.010
Cemil Tunç$^{1}$, Sizar Abid Mohammed$^{2}$
$^{1}$ Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yıl University, 65080, Van  Turkey
$^{2}$ Department of Mathematics, College of Basic Education, University of Duhok, Zakho Street 38, 1006 AJ, Duhok Iraq
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Abstract
We pay our attention to a number of nonlinear Volterra integrodifferential equations of first order, VIDEs, with constant retardation. The uniform boundedness, UB, of the solutions, to that VIDEs is investigated via the Lyapunov functionals, LFs, method. The results
obtained improve and complement a number of works found in the literature. The novelty and originality of this article is that it improves and extends the results found in the literature from the cases of the without delay to the more general cases with delay by
constructing some new LFs.
Acknowledgments
The authors of this paper would like to thank the main editor and anonymous referees for their valuable comments and suggestions leading to improvement of this paper.
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