IJPAM: Volume 87, No. 3 (2013)

SEVERAL REPRESENTATIONS OF THE EULER-CAUCHY
EQUATION WITH RESPECT TO INTEGRAL TRANSFORMS

Ingoo Cho$^1$, Hwajoon Kim$^2$
Graduate School of Mathematics Education
Incheon National University
119, Academy-Ro, Songdo-Dong, Incheon, KOREA


Abstract. The subjects on the solution of differential equations with variable coefficients have aroused the interest of many researchers. Existing many integral transforms are playing a role to get the solution of it. In this sense, we have researched about several forms of Euler-Cauchy equation, using Laplace transform. Related to the topic, the proposed idea can be also applied to other transforms (Sumudu/Elzaki, etc.).

Received: August 9, 2013

AMS Subject Classification: 44A10, 34A12, 65R10

Key Words and Phrases: variable coefficient, Euler-Cauchy equation, Laplace/Sumudu/Elzaki transform

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DOI: 10.12732/ijpam.v87i3.12 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: 2013
Volume: 87
Issue: 3