## On the exponential stability of the Cauchy problem for linear partial differential systems.(Russian)Zbl 0756.35006

The author considers the Cauchy problem for a system of linear partial differential equations. Its coefficient matrices are assumed to be continuous with respect to the time variable and depend exponentially on the spatial variables. He proves three theorems concerning sufficient conditions under which the trivial solution is exponentially stable.

### MSC:

 35B35 Stability in context of PDEs

### Keywords:

sufficient conditions for exponential stability