The paper studies semilinear stochastic evolution equations in a real Hilbert space. The main goal is to consider the Trotter–Kato approximations of mild solutions of such equations. As an application, a classical limit theorem on the dependence of such equations on a parameter is obtained.

Построены модели систем массового обслуживания (СМО) в информационных сетях, показаны емкость накопителя и количество обслуживающих приборов. С применением...

Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous...

In this paper, a neutral stochastic partial differential equation is studied in real separable Hilbert spaces. The aim here is to introduce Yosida approximations for this class of equations and to show the convergence of the mild solutions of the Yosida approximating systems in the pth-mean...

Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous...