A Kind Of Linear Singular Perturbed Problems With Integral Boundary Conditions

Linear singular perturbed problems are one of the oldest problems in the study of perturbed problems.Many conclusions have been reached in [1]-[4].The numerical solution of linear singular perturbed problems with integral boundary conditions is studied in [1],for example: But its asymptotic solution isn't studied.(in which f(t),g(t) are continuous functions.)In this article,we study the following linear singular perturbed problems with integral boundary conditions:Using the method of boundary functions, we construct the formula asymptotic solution, At the same time, the existence of the solution is proved and the error evaluation of the asymp(?)otic solution is obtained.