Abstract: In this paper we prove the existence of mild solutions for semi-linear measure driven equations with infinite delay in Banach spaces. We first establish some conclusions about measure of ...

%\item Can a system of two equations and two unknowns have no solution? \item T/F: It is possible for a linear system to have exactly 5 solutions. \item T/F: A variable that corresponds to a leading 1 ...

Abstract: An infinite horizon linear-quadratic optimal control problem for a singularly perturbed system with multiple point-wise and distributed small delays in the state variable is considered. The ...

The Annals of Probability, Vol. 34, No. 2 (Mar., 2006), pp. 663-727 (65 pages) We develop a new method to uniquely solve a large class of heat equations, so-called Kolmogorov equations in infinitely ...

1 The College of Mathematical, Inner Mongolia University for Nationalities, Tongliao, China. 2 College of Mathematical Science, Inner Mongolia Normal University, Huhhot, China. where p and are ...

Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...