SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS

In this paper we consider the boundary value problem where ε.μ are two positive parameters. Under f≤-k<0 and other suitable restrictions, there exists a solution and it satisfied where y(x) is solution of reduced problem while y-j,j(x)(j=0,1,...,i;i=1,2,...,m) can be obtained successively from certain linear equations.