Solving System of Higher-Order Linear Differential Equations on the Level of Operators

Abstract

In this paper, we 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.

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