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Matematicheskie Zametki, 2018, Volume 103, Issue 2, Pages 295–302
DOI: https://doi.org/10.4213/mzm11010 (Mi mzm11010) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Dirichlet Problem for an Ordinary Continuous Second-Order Differential Equation

B. I. Efendiev

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (429 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11010
Abstract: The extremum principle for an ordinary continuous second-order differential equation with variable coefficients is proved and this principle is used to establish the uniqueness of the solution of the Dirichlet problem. The problem under consideration is equivalently reduced to the Fredholm integral equation of the second kind and the unique solvability of this integral equation is proved.
Keywords: continuous differential equation, fractional integro-differential operator, Dirichlet problem, extremum principle.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00462.
Received: 10.11.2015
English version:
Mathematical Notes, 2018, Volume 103, Issue 2, Pages 290–296
DOI: https://doi.org/10.1134/S0001434618010297
Bibliographic databases:
Document Type: Article
UDC: 517.927.2
Language: Russian
Citation: B. I. Efendiev, “The Dirichlet Problem for an Ordinary Continuous Second-Order Differential Equation”, Mat. Zametki, 103:2 (2018), 295–302; Math. Notes, 103:2 (2018), 290–296
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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