The Spike-Type Solution of Second-Order Semilinear Differential Equation with Integral Boundary Conditions  

作　　者：谢峰 金朝阳 

机构地区：[1]Department of Applied Mathematics, Donghua University [2]Division of Computational Science, E-Institute of Shanghai Universities, at SJTU

出　　处：《Journal of Donghua University(English Edition)》2011年第3期239-242,共4页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.10701023);the Fundamental Research Funds for the Central Universities,China;E-Institutes of Shanghai Municipal Education Commission,China(No.E03004);Natural Science Foundation of Shanghai,China(No.10ZR1400100)

摘　　要：A singularly perturbed second-order semilinear differential equation with integral boundary conditions is considered. By the method of boundary functions, the conditions under which there exists an internal transition layer for the original problem are established. The existence of spike-type solution is obtained by smoothly connecting the solutions of left and right associated problems, and the asymptotic expansion of the spike-type solution is also presented.A singularly perturbed second-order semilinear differential equation with integral boundary conditions is considered. By the method of boundary functions, the conditions under which there exists an internal transition layer for the original problem are established. The existence of spike-type solution is obtained by smoothly connecting the solutions of left and right associated problems, and the asymptotic expansion of the spike-type solution is also presented.

关 键 词：spike-type solution singular perturbation integral boundary conditions 

分 类 号：O175.14[理学—数学]