Factorization and Solution of Linear and Nonlinear Second Order Differential Equations with Variable Coefficients and Mixed Conditions

Abstract

This chapter deals with the factorization and solution of initial and boundary value problems for a class of linear and nonlinear second order differential equations with variable coefficients subject to mixed conditions. The technique for nonlinear differential equations is based on their decomposition into linear components of the same or lower order and the factorization of the associated second order linear differential operators. The implementation and efficiency of the procedure is shown by solving several examples.