In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,u...In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,under the appropriate assumptions,by constructing the special function of upper and lower solutions,we demonstrate the existence of the solution for singularly preturbed integral differential equation of Volterra type,and give the uniformly valid approximate estimation.展开更多
We carried out a Padé approximant analysis on a compact factor of the T-matrlx for NN scattering to explore the nonperturbative renormalization prescription in a universal manner. The utilities and virtues for th...We carried out a Padé approximant analysis on a compact factor of the T-matrlx for NN scattering to explore the nonperturbative renormalization prescription in a universal manner. The utilities and virtues for this Padé analysis are discussed.展开更多
In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bound ed away from 1 independentl...In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bound ed away from 1 independently of the meshsize. For convenience, we only discuss Jacobi relaxation as smoothing operator in detail.展开更多
文摘In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,under the appropriate assumptions,by constructing the special function of upper and lower solutions,we demonstrate the existence of the solution for singularly preturbed integral differential equation of Volterra type,and give the uniformly valid approximate estimation.
基金The project supported in part by National Natural Science Foundation of China under Grant No. 10205004 .Acknowledgments The authors are grateful to Dr. E. Epelbaum for helpful communications. J.F. Yang is grateful to Prof. B.A. Kniehl for his hospitality at the II. Institute for Theoretical Physics of Hamburg University where part of this work was done.
文摘We carried out a Padé approximant analysis on a compact factor of the T-matrlx for NN scattering to explore the nonperturbative renormalization prescription in a universal manner. The utilities and virtues for this Padé analysis are discussed.
基金This work was supported by China State Major Key Project for Basic Researches
文摘In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bound ed away from 1 independently of the meshsize. For convenience, we only discuss Jacobi relaxation as smoothing operator in detail.
