ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Uniformly Boundedness in Nonlinear Volterra Integro-Differential Equations with Delay

Journal of Environmental Accounting and Management 8(2) (2019) 279--290 | 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

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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