UNIQUENESS IMPLIES UNIQUENESS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS

摘要

It is assumed that solutions of the differential equation y''' = f(x, y, y', y"), with certain boundary conditions comprised of function values at m + n points, are unique, when they exist. It is shown that, for any integers p and q such that 1 ≤ p ≤ m, 1 < q ≤ n, solutions for similar boundary value problems are unique, when they exist.