Solving System of Higher-Order Linear Differential Equations On The Level of Operators

Author:

Amaresh B 1

Affiliation:

1. Department of Mathematics, Sindhu Degree College, Adarsh Nagar, Tandur . Dist – Vikarabad, Telangana, India

Abstract

In this paper, I present a method for solving the system of higher-order linear differential equations (HLDEs) with inhomogeneous initial conditions on the level of operators. Using proposed method, we compute the matrix Green’s operator as well as the vector Green’s function of a fully-inhomogeneous initial value problems (IVPs). Examples are discussed to demonstrate the proposed method.

Publisher

Technoscience Academy

Subject

General Medicine

Reference14 articles.

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4. S. Suksern, S. Moyo, S. V. Meleshko: Application of group analysis to classification of systems of three second-order ordinary differential equations, John Wiley & Sons, Ltd. (2015).

5. S. Vakulenko, D. Grigoriev, A. Weber: Reduction methods and chaos for quadratic sys- tems of differential equations. Studies in Applied Mathematics (2015).

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