HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS II: Nonhomogeneous Equations

HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS IV: Variable Coefficient Nonhomogeneous Case

Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations

  In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems    

Growth and Fixed-points of Meromorphic Solutions of Higher-order Nonhomogeneous Linear Differential Equations (communicated by Vicentiu Radulescu)

In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order nonhomogeneous linear differential equations with meromorphic coefficients and their derivatives. Our results extend greatly the previous results due to J. Wang and I.Laine, B. Beläıdi and A. Farissi.

INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS

In this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.

A Semi-Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations

This paper presents the theory and applications of a new computational technique referred to as Differential Transform Method (DTM) for solving second order linear ordinary differential equations, for both homogeneous and nonhomogeneous cases. For the robustness and efficiency of the method, four examples are considered. The results indicate that the DTM is reliable and accurate when compared t...