On the Step-type Contrast Structure of a Second-order Semilinear Differential Equation with Integral Boundary Conditions

In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities. 2000 Mathematics Subject Classification. 34B15; 34E05; 34E20.