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Parametrized relaxation for evolution inclusions of the subdifferential type. (English) Zbl 0839.34075

The author extends the parametric relaxation result of A. Fryszkowski and T. Rzezuchowski [J. Differ. Equations 94, 254-265 (1991; Zbl 0741.34003)] to nonlinear evolution inclusions of the subdifferential type. First continuous dependence results are obtained for the solution set. Then a continuous version of the “Filippov-Gronwall” estimate is derived and by using it the parametric relaxation theorem is proved. An application to a parabolic distributed parameter system is also given.

MSC:

34G20 Nonlinear differential equations in abstract spaces
34A60 Ordinary differential inclusions

Citations:

Zbl 0741.34003
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