Muhammad N. Islam, Nasrin Sultana, James Booth
Abstract:
We study the existence of continuous periodic solutions
of a neutral delay integral equation of advanced type.
In the analysis we employ three fixed point theorems:
Banach, Krasnosel'skii, and Krasnosel'skii-Schaefer.
Krasnosel'skii-Schaefer fixed point theorem requires an
a priori bound on all solutions. We employ a Liapunov
type method to obtain such bound.
Submitted October 1, 2010. Published November 29, 2010.
Math Subject Classifications: 45D05, 45J05.
Key Words: Volterra integral equation; neutral delay integral equation;
periodic solution; Krasnosel'sii's fixed point theorem;
Schaefer's fixed point theorem; Liapunov's method.
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Muhammad N. Islam Department of Mathematics, University of Dayton Dayton, OH 45469-2316 USA email: muhammad.islam@notes.udayton.edu |
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Nasrin Sultana Department of Mathematics, University of Dayton Dayton, OH 45469-2316 USA email: sultannz@notes.udayton.edu |
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James Booth Department of Mathematics, University of Dayton Dayton, OH 45469-2316 USA email: boothjaa@notes.udayton.edu |
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