Method of Duhamel Integral for Ordinary Differential Equations with Constant Coefficients in Respect to the Theory of Distributions
A new proof for the method of Duhamel integral is produced. This proof is based on the convolution algebra of distributions and allows to extend this method for the region x<0. Universal formulas for solving equations with discontinuos right-hand side are obtained.
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2010-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu673 |