The paper deals with an integrodifferential operator which models numerous phenomena in superconductivity, in biology and in viscoelasticity. Initialboundary value problems with Neumann, Dirichlet and mixed boundary conditions are analyzed. An asymptotic analysis is achieved proving that for large t, the influences of the initial data vanish, while the effects of boundary disturbances are everywhere bounded.
Asymptotic estimates related to an integro differential equation / DE ANGELIS, Monica. - In: NONLINEAR DYNAMICS AND SYSTEMS THEORY. - ISSN 1562-8353. - STAMPA. - 13:3(2013), pp. 217-228.
Asymptotic estimates related to an integro differential equation
DE ANGELIS, MONICA
2013
Abstract
The paper deals with an integrodifferential operator which models numerous phenomena in superconductivity, in biology and in viscoelasticity. Initialboundary value problems with Neumann, Dirichlet and mixed boundary conditions are analyzed. An asymptotic analysis is achieved proving that for large t, the influences of the initial data vanish, while the effects of boundary disturbances are everywhere bounded.File in questo prodotto:
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