BOUNDARY VALUE PROBLEM FOR A SINGULARLY PERTURBED NONLINEAR SYSTEM

In this paper, by the technique and the method of deagonalization, the boundary value problem for second order singularly perturbed nonlinear system as follows is dealt with:εy"=f(t,y,y’,ε),y(0,ε)=a(ε),y(1,ε)=b(ε) The existance of the solution and its asymptotic properties are discussed when the eigenvaslues of Jacobi matrix fy’ has K negative real parts and N-K positve real parts.