Differential Equations in Distributions

Adina Chirilă (), Marin Marin and Andreas Öchsner
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Adina Chirilă: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Marin Marin: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Andreas Öchsner: Esslingen University of Applied Sciences, Faculty of Mechanical Engineering

Chapter Chapter 8 in Distribution Theory Applied to Differential Equations, 2021, pp 167-195 from Springer

Abstract: Abstract This chapter presents both ordinary and partial differential equations in distributions. Linear differential equations with constant coefficients are discussed in the framework of the theory of distributions. Hyperbolic, parabolic and elliptic partial differential equations are solved by means of the Fourier transform. The Cauchy problem is discussed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-67159-4_8

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DOI: 10.1007/978-3-030-67159-4_8

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