Abstract: We prove some new results regarding the boundedness, stability and attractivity of the solutions of a class of initial-boundary-value problems characterized by a quasi-linear third order equation which may contain time-dependent coefficients. The class includes equations arising in Superconductor Theory, and in the Theory of Viscoelastic Materials. In the proof we use a family of Liapunov functionals W depending on two parameters, which we adapt to the `error', i.e. to the size $sigma$ of the chosen neighbourhood of the null solution.
Stability properties for some non-autonomous dissipative phenomena proved by families of Liapunov functionals / D'Anna, Armando; Fiore, Gaetano. - In: NONLINEAR DYNAMICS AND SYSTEMS THEORY. - ISSN 1562-8353. - STAMPA. - 9:3(2009), pp. 249-262.
Stability properties for some non-autonomous dissipative phenomena proved by families of Liapunov functionals
D'ANNA, ARMANDO;FIORE, GAETANO
2009
Abstract
Abstract: We prove some new results regarding the boundedness, stability and attractivity of the solutions of a class of initial-boundary-value problems characterized by a quasi-linear third order equation which may contain time-dependent coefficients. The class includes equations arising in Superconductor Theory, and in the Theory of Viscoelastic Materials. In the proof we use a family of Liapunov functionals W depending on two parameters, which we adapt to the `error', i.e. to the size $sigma$ of the chosen neighbourhood of the null solution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.