Global Stability properties for a class of dissipative phenomena via one or several Liapunov functionals
Mathematical Physics
2012-09-28 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0311009,
title = {Global Stability properties for a class of dissipative phenomena via one or several Liapunov functionals},
author = {Armando D'Anna and Gaetano Fiore},
journal= {arXiv preprint arXiv:math-ph/0311009},
year = {2012}
}
Comments
Latex file, 30 pages. To appear in "Nonlinenar Dynamics and System Theory"