In this paper the initial-boundary value problem for nonlocal singularly perturbed reaction diffusion system are considered.Using the iterative method and the compa- rison theorem,the existence and asymptotic behavior of the solution for the problem are studied.
Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui
In this article the travelling wave solution for a class of nonlinear reaction diffusion problems are considered. Using the homotopic method and the theory of travelling wave transform, the approximate solution for the corresponding problem is obtained.
A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptotic solution of the initial boundary value problems is studied.
Mo Jiaqi Department of Mathematics, Anhui Normal University, Wuhu 241000, China
In this paper the singularly perturbed initial boundary value problems for a nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and asymptotic behavior of solutions for the problem are studied.
In this paper, we consider the solvability for a singularly perturbed Robin problem of semi-linear differential system. Using the boundary layer corrective method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved.
Liu Shude, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui