A class of quasi-linear singularly perturbed boundary value problems with singular equation is considered. Under suitable conditions, the existence and asymptotic behavior of a solution for the boundary value problem ...A class of quasi-linear singularly perturbed boundary value problems with singular equation is considered. Under suitable conditions, the existence and asymptotic behavior of a solution for the boundary value problem are studied by using the theory of differential inequalities, and the uniformly valid asymptotic expansion of solution with boundary layer is obtained.展开更多
In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of ...In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of the solution is proved.展开更多
基金Supported by the National Natural Science Foundation of China (40876010)the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08)the R & D Special Fund for Public Welfare Industry (meteorology) (GYHY200806010)
文摘A class of quasi-linear singularly perturbed boundary value problems with singular equation is considered. Under suitable conditions, the existence and asymptotic behavior of a solution for the boundary value problem are studied by using the theory of differential inequalities, and the uniformly valid asymptotic expansion of solution with boundary layer is obtained.
基金Supported by the National Natural Science Foundation of China (40676016 and 40876010)the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08)Construct Project of E-Institutes of Shanghai Municipal Education Commission (E03004)
文摘In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of the solution is proved.
