Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations

Muhammad N. Islam; Youssef N. Raffoul

Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations

Authors

Muhammad N. Islam Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA.
Youssef N. Raffoul Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA.

Keywords:

Volterra integral equation, integro-differential equation, resolvent, Krasnoselsii‘s fixed point theorem, bounded solution, periodic solution

Abstract

This article addresses boundedness and periodicity of solutions of certain Volterra type equations. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold.

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Published

2009-08-01

How to Cite

[1]

M. N. Islam and Y. N. Raffoul, “Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations”, CUBO, vol. 11, no. 3, pp. 115–124, Aug. 2009.