Conservative Algorithm and Convergence Analysis for the General Improved KDV Equation
HUO Hui-xia;YUAN Wen-zhi;Department of Mathematics,Tai Yuan Normal University;
We discussed the barber's selective service M/G/1 queueing system. By choosing state space and defining operators of systems,we transfer model into an abstract Cauchy problem. Studying the nature of the system operator,that is using C0-semigroup theory,we first prove the system operator is a dissipative operator operator. Then we obtain the adjoint operator of the system operator and its domain. Furthermore,we prove that the unique and nonnegative stability solution of system is the eigenvector of system operator corresponding to eigenvalue 0. Finally by the Spectral analysis of operator,the time dependent solution of the system tends to be stable is obtained.
【CateGory Index】： O175