Abstract We prove new results regarding the existence, uniqueness, (eventual) boundedness, (total) 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 Liapunov functional V depending on two parameters, which we adapt to the characteristics of the problem.

Existence, uniqueness and stability for a class of third-order dissipative problems depending on time

D'ANNA, ARMANDO;FIORE, GAETANO
2013

Abstract

Abstract We prove new results regarding the existence, uniqueness, (eventual) boundedness, (total) 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 Liapunov functional V depending on two parameters, which we adapt to the characteristics of the problem.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/513110
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