THE L^P TRICHOTOMY FOR DIFFERENCE SYSTEMS AND APPLICATIONS

Matucci, Serena

The notion of lp trichotomy for a linear difference system is here considered as extension of exponential trichotomy and lp dichotomy. The main properties are analyzed and necessary and sufficient conditions for the existence are given. The asymptotic behavior of solutions of a quasilinear system x(n + 1) = A(n)x(n) + f(n; x(n)) is studied under the assumption that the associated linear system possesses a lp trichotomy.

THE L^P TRICHOTOMY FOR DIFFERENCE SYSTEMS AND APPLICATIONS / S. MATUCCI. - In: ARCHIVUM MATHEMATICUM. - ISSN 0044-8753. - STAMPA. - 36 (5):(2000), pp. 519-529.

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Titolo:	THE L^P TRICHOTOMY FOR DIFFERENCE SYSTEMS AND APPLICATIONS
Autori di Ateneo:	MATUCCI, SERENA
Autori:	MATUCCI, SERENA
Data di pubblicazione:	2000
Rivista:	ARCHIVUM MATHEMATICUM
Volume:	36 (5)
Pagina iniziale:	519
Pagina finale:	529
Abstract:	The notion of lp trichotomy for a linear difference system is here considered as extension of exponential trichotomy and lp dichotomy. The main properties are analyzed and necessary and sufficient conditions for the existence are given. The asymptotic behavior of solutions of a quasilinear system x(n + 1) = A(n)x(n) + f(n; x(n)) is studied under the assumption that the associated linear system possesses a lp trichotomy.
Handle:	http://hdl.handle.net/2158/8314
Appare nelle tipologie:	1a - Articolo su rivista

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