We consider a system of two semilinear parabolic inclusions depending on a small parameter epsilon > 0 which is present both in front of the derivative in one of the two inclusions and in the nonlinear terms to model high-frequency inputs. The aim is to provide conditions in order to guarantee, for epsilon > 0 sufficiently small, the existence of periodic solutions and in order to study their behaviour as F tends to zero. Our assumptions permit the definition of upper semicontinuous, convex valued, compact vector operators whose fixed points represent the sought-after periodic solutions. The existence of fixed points is shown by using topological degree theory arguments. (C) 2003 Elsevier Science Ltd. All rights reserved.

M., K., & Nistri, P. (2003). An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups. NONLINEAR ANALYSIS, 53(3-4), 467-480 [10.1016/S0362-546X(02)00312-7].

An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups

NISTRI, PAOLO
2003

Abstract

We consider a system of two semilinear parabolic inclusions depending on a small parameter epsilon > 0 which is present both in front of the derivative in one of the two inclusions and in the nonlinear terms to model high-frequency inputs. The aim is to provide conditions in order to guarantee, for epsilon > 0 sufficiently small, the existence of periodic solutions and in order to study their behaviour as F tends to zero. Our assumptions permit the definition of upper semicontinuous, convex valued, compact vector operators whose fixed points represent the sought-after periodic solutions. The existence of fixed points is shown by using topological degree theory arguments. (C) 2003 Elsevier Science Ltd. All rights reserved.
M., K., & Nistri, P. (2003). An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups. NONLINEAR ANALYSIS, 53(3-4), 467-480 [10.1016/S0362-546X(02)00312-7].
File in questo prodotto:
File Dimensione Formato  
398236-U-GOV.pdf

non disponibili

Tipologia: Post-print
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 158.64 kB
Formato Adobe PDF
158.64 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/7186
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo