Asymptotic stability of two classes of second-order integro-differential equations of Volterra type

We study the asymptotic stability of linear homogeneous second-order integrodifferential equations of Volterra type on a half-line for the case in which the corresponding linear homogeneous differential equation is asymptotically unstable. The exponential stability of these equations in the same set...

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Veröffentlicht in:	Differential equations 2008-07, Vol.44 (7), p.909-922
1. Verfasser:	Iskandarov, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Difference and Functional Equations Differential equations Integral Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Studies
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study the asymptotic stability of linear homogeneous second-order integrodifferential equations of Volterra type on a half-line for the case in which the corresponding linear homogeneous differential equation is asymptotically unstable. The exponential stability of these equations in the same setting is considered as well. Illustrative examples are given.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266108070033