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Global Stability properties for a class of dissipative phenomena via one or several Liapunov functionals

Armando D'Anna·Gaetano Fiore
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Abstract

We find some new results regarding the existence, uniqueness, 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 have non-autonomous forcing terms. The class includes equations arising in Superconductor Theory, Quantum Mechanics and in the Theory of Viscoelastic Materials.

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Armando D'Anna, Gaetano Fiore. 2003-11-07. Global Stability properties for a class of dissipative phenomena via one or several Liapunov functionals. https://arxiv.org/abs/math-ph/0311009

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