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Convergence of Solutions of Second-Order Gradient-Like Systems with Analytic Nonlinearities
- Source :
- Journal of Differential Equations; April 10, 1998, Vol. 144 Issue: 2 p313-320, 8p
- Publication Year :
- 1998
-
Abstract
- We consider the second-order gradient-like systemUtt+g(Ut)=∇F(U)(1)whereF:RN→R is analytic andg:RN→RNis Lipschitz and coercive withg(0)=0. We prove the convergence of global and bounded solutions of (1) to some equilibrium points.
Details
- Language :
- English
- ISSN :
- 00220396 and 10902732
- Volume :
- 144
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Periodical
- Accession number :
- ejs830360
- Full Text :
- https://doi.org/10.1006/jdeq.1997.3393