“…Thus we will consider the initial boundary value problem of the form. u2(0) = A, 2~2(1) = B, (1)(2)(3)(4) where 0 < E < 1 is a small parameter, u*, A , B are given constants. f1(x, u1, UZ), f2(2, u1,ug) are given smooth functions satisfying certain regularity conditions.…”