Abstract
This chapter discusses the existence and asymptotic character of solutions of the nonlinear boundary value problem. A solution of differential system is constructed by satisfying the boundary conditions. The boundary value problem is not expected to have a solution of different type unless f and g are severely restricted. Boundary problems for second order differential equations are written as special cases, which have been treated by Coddington and Levinson, von Mises and Wasow. The asymptotic character of solutions in the chapter aims a constructional procedure for the solution of the boundary value problem by convergent and asymptotic series.
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