Publicación: ASYMPTOTIC TO SYSTEMS WITH MEMORY AND NON-LOCAL INITIAL DATA

Fecha
2019
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REVIEWS IN MATHEMATICAL PHYSICS
Resumen
WE STUDY THE EXISTENCE AND THE ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF AN ABSTRACT VISCOELASTIC SYSTEM SUBMITTED TO NON-LOCAL INITIAL DATA.
U(TT )+ AU - INTEGRAL(T)(0) G(T - S)BU(S)DS = 0
U(0) = XI(U) IN V, U(T) (0) = ETA(U) IN H,
WHERE A AND B ARE DIFFERENTIAL OPERATORS SATISFYING B APPROXIMATE TO A(ALPHA) FOR 0