EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 46(60), pp. 113--118 (1989)

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The formal solution of Mikusi\'nski operational differential equations with variable coefficients

I. E. Sharkawi

Department of Mathematics, Faculty of Science Al-Azhar University, Cairo, Egypt

Abstract: The formal solution of the homogeneous linear differential equation $$ x^{(n)}(\lambda)+a_{n-1}(\lambda)x^{(n-1)}(\lambda)+\cdots +a_0(\lambda)x(\lambda)=0,\ 0\le\lambda\le\Lambda $$ is considered. $x(\lambda)$ and $a_i(\lambda)$ are functions which map the interval $[0,\Lambda]$ into the field $M$ of Mikusi\'nski operators [2].

Classification (MSC2000): 44A40

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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