Email this article The Dirichlet Problem for an Ordinary Continuous Second-Order Differential Equation
- Authors: Éfendiev B.I.1
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Affiliations:
- Institute of Applied Mathematics and Automation
- Issue: Vol 103, No 1-2 (2018)
- Pages: 290-296
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/150626
- DOI: https://doi.org/10.1134/S0001434618010297
- ID: 150626
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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.
About the authors
B. I. Éfendiev
Institute of Applied Mathematics and Automation
Author for correspondence.
Email: beslan_efendiev@mail.ru
Russian Federation, Nalchik
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