IJPAM: Volume 106, No. 1 (2016)
DIFFERENTIAL EQUATIONS ON
THE LEVEL OF OPERATORS
Department of Mathematics
Motilal Nehru National Institute of Technology
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
Pages: 11 - 21