Nonlinear vector duffing inclusions with no growth restriction on the orientor field

Papageorgiou, NS; Vetro, C; Vetro, F

doi:10.12775/TMNA.2019.041

We consider nonlinear multivalued Dirichlet Duffing systems. We do not impose any growth condition on the multivalued perturbation. Using tools from the theory of nonlinear operators of monotone type, we prove existence theorems for the convex and the nonconvex problems. Also we show the existence of extremal trajectories and show that such solutions are $C_0^1(T,IR^N)$-dense in the solution set of the convex problem (strong relaxation theorem)

Papageorgiou N.S., Vetro C., & Vetro F. (2019). Nonlinear vector duffing inclusions with no growth restriction on the orientor field. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 54(1), 257-274.

Data di pubblicazione:	2019
Titolo:	Nonlinear vector duffing inclusions with no growth restriction on the orientor field
Autori:	Papageorgiou N. S. VETRO, Calogero Vetro F. mostra contributor esterni nascondi contributor esterni
Citazione:	Papageorgiou N.S., Vetro C., & Vetro F. (2019). Nonlinear vector duffing inclusions with no growth restriction on the orientor field. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 54(1), 257-274.
Rivista:	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Digital Object Identifier (DOI):	http://dx.doi.org/10.12775/TMNA.2019.041
Abstract:	We consider nonlinear multivalued Dirichlet Duffing systems. We do not impose any growth condition on the multivalued perturbation. Using tools from the theory of nonlinear operators of monotone type, we prove existence theorems for the convex and the nonconvex problems. Also we show the existence of extremal trajectories and show that such solutions are $C_0^1(T,IR^N)$-dense in the solution set of the convex problem (strong relaxation theorem)
Settore Scientifico Disciplinare:	Settore MAT/05 - Analisi Matematica
Appare nelle tipologie:	1.01 Articolo in rivista

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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10447/381898

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