ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXV, 2 (2006)
p. 153 - 162
On the strong stability of a nonlinear Volterra integro-differential system
A. Diamandescu

Abstract.  In this paper we provide sufficient conditions for strong stability of the trivial solution of the systems
x' = A(t)x
+
t
ò
0
F(t, s, x(s))ds and x' = A(t)x.

Keywords: Strong-stability, Volterra integro-differential systems.  

AMS Subject classification:  Primary 45M10;   Secondary 45J05.
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