In this paper we treat the question of local asymptotic stability for polyharmonic Kirchhoff systems, governed by time-dependent source forces and nonlinear damping terms. Even the simplest case (P3) studied here includes several systems of great interest, as the physical models for vibrating beams of the Woinowsky-Krieger type. The paper extends and generalizes some local stability results obtained previously in the case L=2 to higher order systems.
Local asymptotic stability for polyharmonic Kirchhoff systems / Autuori, Giuseppina; Pucci, Patrizia. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 90/2011:3-4(2011), pp. 493-514. [10.1080/00036811.2010.483433]
Local asymptotic stability for polyharmonic Kirchhoff systems
AUTUORI, GIUSEPPINA;
2011-01-01
Abstract
In this paper we treat the question of local asymptotic stability for polyharmonic Kirchhoff systems, governed by time-dependent source forces and nonlinear damping terms. Even the simplest case (P3) studied here includes several systems of great interest, as the physical models for vibrating beams of the Woinowsky-Krieger type. The paper extends and generalizes some local stability results obtained previously in the case L=2 to higher order systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
