This note deals with a class of abstract quasivariational evolution problems that may include some memory effects. Under a suitable monotonicity framework, we provide a generalized existence result by means of a fixed point technique in ordered spaces. Finally, an application to the modeling of generalized kinematic hardening in plasticity is discussed.
Si considera una classe di problemi quasivariazionali astratti che possono descrivere effetti di memoria in vari contesti applicativi. In particolare, viene provata la loro risolubilità generalizzata sotto opportune ipotesi di monotonia e per mezzo di un risultato di punto fisso per applicazioni multivoche in spazi ordinati. Si sviluppa infine un'applicazione alla modellizzazione dei fenomeni di incrudimento in plasticità.
@article{BUMI_2004_8_7B_2_319_0, author = {Ulisse Stefanelli}, title = {Some quasivariational problems with memory}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {7-A}, year = {2004}, pages = {319-333}, zbl = {1187.34079}, mrnumber = {2072662}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2004_8_7B_2_319_0} }
Stefanelli, Ulisse. Some quasivariational problems with memory. Bollettino dell'Unione Matematica Italiana, Tome 7-A (2004) pp. 319-333. http://gdmltest.u-ga.fr/item/BUMI_2004_8_7B_2_319_0/
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