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;
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.File in questo prodotto:
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