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Matematicheskie Zametki, 2011, Volume 89, Issue 1, Pages 19–33
DOI: https://doi.org/10.4213/mzm8367 (Mi mzm8367) 		 
Euler Integrals and Multi-Integrals of Linear Partial Differential Equations

E. I. Ganzha

Krasnoyarsk State Pedagogical University named after V. P. Astaf'ev
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DOI: https://doi.org/10.4213/mzm8367
Abstract: In this paper, we discuss the notion of reducibility of solutions of the Euler form generalizing solutions arising from the Laplace cascade method for integrating second-order hyperbolic equations in the plane. We present reduction algorithms and prove the equivalence of various possible exact definitions of the reduction of similar explicit solutions.
Keywords: Euler integral and multi-integral, linear partial differential equation, Laplace cascade integration method, reduction algorithm.
Received: 24.03.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 1, Pages 37–50
DOI: https://doi.org/10.1134/S0001434611010044
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. I. Ganzha, “Euler Integrals and Multi-Integrals of Linear Partial Differential Equations”, Mat. Zametki, 89:1 (2011), 19–33; Math. Notes, 89:1 (2011), 37–50
Citation in format AMSBIB
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