Convergence of Solutions of Second-Order Gradient-Like Systems with Analytic Nonlinearities
Convergence of Solutions of Second-Order Gradient-Like Systems with Analytic Nonlinearities
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DOI：
10.1006/jdeq.1997.3393
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发表时间：
1998-04
影响因子：
2.4
通讯作者：
A. Haraux;M. Jendoubi
中科院分区：
文献类型：
--
作者：
A. Haraux;M. Jendoubi
考虑二阶类梯度系统Utt +g（Ut）=<$F（U）（1）其中F：RN→R是解析的，g：RN→ RN是Lipschitz和矫顽的，g（0）=0.我们证明了（1）的整体有界解收敛到某些平衡点。
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.