In this paper we prove the existence of mild solutions for aproblem governed by a semilinear non-autonomous second order differential inclusion where a stabilization of the solution is expected due to the control of the reaction term. In order to obtain our existence theorem, first we study a more general problem with a differential inclusion which involves a perturbation guided by an operator N:I→C(C(I;X);X), where X is a Banach space. Finally we show an illustrative example of application of our results to a problem involving a wave equation

Non-autonomous Second Order Differential Inclusions with a Stabilizing Effect

Cardinali T.
;
2020

Abstract

In this paper we prove the existence of mild solutions for aproblem governed by a semilinear non-autonomous second order differential inclusion where a stabilization of the solution is expected due to the control of the reaction term. In order to obtain our existence theorem, first we study a more general problem with a differential inclusion which involves a perturbation guided by an operator N:I→C(C(I;X);X), where X is a Banach space. Finally we show an illustrative example of application of our results to a problem involving a wave equation
2020
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1480010
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