Stability of an integro-differential equation

Stability of an integro-differential equation

In this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2009-04, Vol.57 (7), p.1080-1088
Hauptverfasser: Jin, Chuhua, Luo, Jiaowan
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Contraction
Fixed points
Integro-differential equation
Mathematical analysis
Mathematical models
Scalars
Stability
Variable delay
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Beschreibung
Zusammenfassung:In this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2009.01.006