A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is give...A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.展开更多
Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant i...Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant induced from the Mei symmetry of the system without perturbation is given. The criterion of the perturbation to Mei symmetry is established and the discrete Mei adiabatic invariant induced from the perturbation to Mei symmetry is obtained. Meanwhile, an example is discussed to illustrate the application of the results.展开更多
This work was supported by National Basic Research Program of China （973 program） （No. 2011CB710605）, TianYuan Special Funds of National Natural Science Foundation of China （No. 11226134）, National Natural Scien...This work was supported by National Basic Research Program of China （973 program） （No. 2011CB710605）, TianYuan Special Funds of National Natural Science Foundation of China （No. 11226134）, National Natural Science Foundation of China （No. 61273215）展开更多
基金Supported by National Natural Science Foundation of China(11071075, 11171113)National Natural Science Foundation of China-subsidized by CAS Knowledge Innovation Project (30921064,90820307)+1 种基金Shang Natural Science Foundation(10ZR1409200)Division of Computational Science,E-institute of Shanghai Jiaotong University(E03004)
文摘A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.
基金Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A)
文摘Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant induced from the Mei symmetry of the system without perturbation is given. The criterion of the perturbation to Mei symmetry is established and the discrete Mei adiabatic invariant induced from the perturbation to Mei symmetry is obtained. Meanwhile, an example is discussed to illustrate the application of the results.
基金supported by National Basic Research Program of China(973program)(No.2011CB710605)TianYuan Special Funds of National Natural Science Foundation of China(No.11226134)National Natural Science Foundation of China(No.61273215)
文摘This work was supported by National Basic Research Program of China （973 program） （No. 2011CB710605）, TianYuan Special Funds of National Natural Science Foundation of China （No. 11226134）, National Natural Science Foundation of China （No. 61273215）
