On Necessary and Sufficient Conditions for Exponential Stability in Linear Volterra Integro-Differential Equations
نویسندگان
چکیده
منابع مشابه
Necessary and sufficient conditions for uniform stability of Volterra integro-dynamic equations using new resolvent equation
We consider the system of Volterra integro-dynamic equations x(t) = A(t)x(t) + ∫ t t0 B(t, s)x(s)∆s and obtain necessary and sufficient conditions for the uniform stability of the zero solution employing the resolvent equation coupled with the variation of parameters formula. The resolvent equation that we use for the study of stability will have to be developed since it is unknown for time sca...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2004
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075283