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

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

2003-11-07

arxiv.org/abs/math-ph/0311009v1

Physics

Mathematical Physics

Latex file, 30 pages. To appear in "Nonlinenar Dynamics and System Theory"

Scientific paper

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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