Stability analysis for first-order hyperbolic systems with space-time white noise
具时空白噪声1阶双曲系统的稳定性分析

The stability of first-order hyperbolic system with space-time white noise is discussed. The system is transformed into an abstract stochastic evolution equation using Fourier transformation; sufficient conditions are given for exponentially stable in mean-square and exponentially stable in almost sure. An example is provided to illustrate our theory.