The existence of a locally Lipschitz continuous homogeneous Lyapunov function is proven for a class of asymptotically stable homogeneous infinite dimensional systems with unbounded nonlinear operators.

中文翻译：

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具有无界非线性算子的齐次无限维系统的齐次Lyapunov函数

一类具有无界非线性算子的渐近稳定齐次无限维系统证明了局部Lipschitz连续齐次Lyapunov函数的存在。