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Nonautonomous Dynamical Systems

formerly Nonautonomous and Stochastic Dynamical Systems

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Mathematical Citation Quotient (MCQ) 2015: 0.33

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Subexponential Solutions of Linear Volterra Difference Equations

Martin Bohner
  • Department of Mathematics, Missouri University of Science and Technology, Rolla, MO 65409-0020 USA
/ Nasrin Sultana
  • Department of Mathematics, Missouri University of Science and Technology, Rolla, MO 65409-0020 USA
Published Online: 2015-10-16 | DOI: https://doi.org/10.1515/msds-2015-0005


We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.

Keywords: Subexponential; transient renewal; convolutions; Banach space; linear operator


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  • [6] Walter G. Kelley and Allan C. Peterson. Difference equations. Harcourt/Academic Press, San Diego, CA, second edition, 2001. An introduction with applications.

About the article

Received: 2015-03-05

Accepted: 2015-09-17

Published Online: 2015-10-16

Citation Information: Nonautonomous Dynamical Systems, ISSN (Online) 2353-0626, DOI: https://doi.org/10.1515/msds-2015-0005. Export Citation

©2015 Martin Bohner and Nasrin Sultana. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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