The definition of the regular set in space R nhas been given in this paper On a regular convex compact set in R n, the five equivalence conditions generated and the semigroup of moment have been considered and obtained, which are the generalizations os H Buchwalter and G Cassier′s work

By introducing the general notion of nonwandering operator semigroup T(t) and utilizing a basic result in normed linear space,the nonwandering property of T(t)=e~(tA) is investigated with the constructive method.

The existence and uniqueness of nonnegative solution to the system are proved by using the theory of bounded linear operator semigroup.

In this paper the existince ,uniquebess and asymptotic property of solution for nonlinear evolution equation is studied by means of operator semigroup.

In this paper,we study the approximation of transition functions in continuous-time Markov chains by means of semigroups of linear operators.

In present paper,we study the asymptotic behavior of a parallel repairable system with two non- identical units,we prove by strongly continuous semigroups of operators theory that there exists a unique non- negative solution of the system,the stability of the solution of this system is ob- tained by studying spectral properties of the operator corresponding to this system.

In this paper, firstly we study of the existence and uniqueness a dynamie state non-negative solution the complex repairable system by semigroups of operators theory, further we prove that 0 is the simple eigenvalue of the system.

In this paper, we shall prove the existence and uniqueness of a non\|negative time\|dependent solution of the robot and its associated safety mechanism by strongly continuous semigroups of operators theory.