IJPAM: Volume 84, No. 4 (2013)
EXPRESSED BY DIFFERENTIAL OPERATOR
USING LAPLACE TRANSFORM
University of Incheon
Incheon, S. KOREA
Abstract. It is well known fact that the Laplace transform is useful in solving linear ordinary differential equations with constant coefficients such as free/forced oscillations, but in the case of differential equation with variable coefficients is not. In here, we would like to propose the Laplace transform of Euler-Cauchy equation with variable coefficients, and find the solution of Euler-Cauchy equation represented by the differential operator using Laplace transform. The purpose of this research is to make an application to its difference equation and oscillation.
Received: October 29, 2012
AMS Subject Classification: 44A10, 34A12
Key Words and Phrases: Euler-Cauchy equation, variable coefficients, Laplace transform, z transform, oscillations
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DOI: 10.12732/ijpam.v84i4.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395