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A Note on the Differential Equations with Distributional Coefficients

Kilicman, Adem, (2004) A Note on the Differential Equations with Distributional Coefficients. Matematika, 20 (2). pp. 115-124. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200420205.pdf

Affiliations

Universiti Putra Malaysia, Institute for Mathematical Research, Dept. of Mathematics

Abstract

A differential equation is a relationship between a function and its derivatives which are naturally appeared in many disciplines. They might have coefficients as constant and polynomials. There are several methods to solve a differential equation. But there is no general method to solve all the differential equations. Different problem might require different techniques. In this work after reviewing the present solution techniques we introduce some of the differential equations with distributional coefficients and make some comparisons between the solutions.

Item Type:Journal
Keywords:Distributions, Integral Transforms, Differential Equations with Distributional Coefficients
Subjects:Q Science, Computer Science
ID Code:5751

[1] D. Brian, Integral Transforms and Their Applications, New York, Springer–Verlag, 2002.

[2] F. Constantinescu, Distributions and their Applications in Physics, Pergamon Press, 1980.

[3] R.F. Hoskins and S.J. Pinto, Distributions Ultradistributions and Other Generalised Functions, Ellis Horwood, 1994.

[4] Ram. P. Kanwal, Generalized Functions: Theory and Technique, Birkh¨ouser, 1998.

[5] Kılı¸cman, A. : On the Neutrix Products of Distributions and Differential Equations, Proc. Conf. on Technology and Mathematical Sciences, USM(1999), 17–22.

[6] A. Kılı¸cman, A Note on the Differential Equations and Distributional Solutions, Tamsui Oxford Journal of Mathematical Sciences(TOJMS), 20(1)(2004), 73–81.

[7] P.M. Morse and H. Feschach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.

[8] L. Schwartz, Theorie des Distributions, Hermann, Paris, 1966.

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