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Applications to Partial Differential Equations

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Introduction to the Laplace Transform

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 8))

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Abstract

In our earlier work on the spring we dealt with either a single equation or a system of two equations depending on whether one or two point masses were involved. Systems containing an infinite number of discrete point masses are subject to an infinite system of ordinary differential equations. We shall now consider a system with a continuous mass distribution, which leads to a partial differential equation, with independent variables in time and space.

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© 1978 Springer Science+Business Media New York

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Kuhfittig, P.K.F. (1978). Applications to Partial Differential Equations. In: Introduction to the Laplace Transform. Mathematical Concepts and Methods in Science and Engineering, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2201-4_7

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  • DOI: https://doi.org/10.1007/978-1-4899-2201-4_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2203-8

  • Online ISBN: 978-1-4899-2201-4

  • eBook Packages: Springer Book Archive

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