Boundary value problem for a singularly perturbed nonlinear system

In this paper, by the technique and the method of diagonalization, the boundary value problem for second order singularly perturbed nonlinear system as follows is dealt with: The existance of the solution and its asymptotic properties are discussed when the eigenvalues of Jacobi matrix fy′ has K negative real parts and N−K positive real parts. Supported by the Natural Science Foundation of Fujian Province