IJPAM: Volume 106, No. 1 (2016)

SOLVING SYSTEM OF HIGHER-ORDER LINEAR
DIFFERENTIAL EQUATIONS ON
THE LEVEL OF OPERATORS

Srinivasarao Thota$^1$, Shiv Datt Kumar$^2$
$^1$Department of Mathematics
Motilal Nehru National Institute of Technology
Allahabad, INDIA


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.

Received: April 2, 2015

AMS Subject Classification: 35E15, 35G10

Key Words and Phrases: system of higher-order linear differential equations, operator problem, vector Green's function, initial value problems

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DOI: 10.12732/ijpam.v106i1.2 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 11 - 21


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