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Solutions of Volterra integral equations with infinite delay

โœ Scribed by Daniel Franco; Donal O'Regan

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
157 KB
Volume
281
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equation before. Our results generalize and complement those in the literature and several examples are presented to show their applicability. (ยฉ 2008 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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## Abstract Some boundaries about the solution of the linear Volterra integral equations of the form __f__(__t__)=1โˆ’__K\*f__ were obtained as |__f__(__t__)|โฉฝ1, |__f__(__t__)|โฉฝ2 and |__f__(__t__)|โฉฝ4 in (__J. Math. Anal. Appl.__ 1978; **64**:381โ€“397; __Int. J. Math. Math. Sci.__ 1982; **5**(1):123โ€“13