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Global periodic attractor for strongly damped wave equations with time-periodic driving force.
- Source :
-
Journal of Mathematical Physics . Sep2004, Vol. 45 Issue 9, p3462-3467. 6p. - Publication Year :
- 2004
-
Abstract
- In this paper, we consider the existence of a global periodic attractor for a strongly damped nonlinear wave equation with time-periodic driving force under homogeneous Dirichlet boundary condition. It is proved that in certain parameter region, for arbitrary time-periodic driving force, the system has a unique periodic solution attracting any bounded set exponentially. This implies that the system behaves exactly as a one-dimensional system. We mention, in particular, that the obtained result can be used to prove the existence of global periodic attractor of the usual damped and driven wave equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 45
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 14227839
- Full Text :
- https://doi.org/10.1063/1.1775873