Electron. J. Diff. Equ., Vol. 2016 (2016), No. 83, pp. 1-9.

Asymptotically periodic solutions of Volterra integral equations

Muhammad N. Islam

We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay. Schauder's fixed point theorem is used in the analysis.

Submitted August 21, 2015. Published March 23, 2016.
Math Subject Classifications: 45D05.
Key Words: Volterra integral equation; asymptotically periodic solution; periodic solution; Schauder's fixed point theorem.

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Muhammad N. Islam
Department of Mathematics
University of Dayton
Dayton, OH 45469-2316, USA
email: mislam1@udayton.edu

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