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Stability for a functional differential equation in Hilbert space
Mastinšek, Miklavž
The stability for the functional differential equation: du/dt = Au(t)+(a*Au)(t) is studied, where A is the infinitesimal generator of a linear dynamical system in Hilbert space and the convolution ...term contains a square integrable real function a. Sufficient conditions for the asympotic stability of the solution u are obtained. The results are applied to a retarded partial integrodifferential equation.
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