Email this article A mixed integral equation of mechanics and a generalized projection method of its solution
- Authors: Manzhirov A.V.1,2,3
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Bauman Moscow State Technical University
- National Research Nuclear University MEPhI
- Issue: Vol 61, No 10 (2016)
- Pages: 489-493
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/190566
- DOI: https://doi.org/10.1134/S1028335816100025
- ID: 190566
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Abstract
A mixed multidimensional integral equation containing integral operators of various types is studied. The case in which the equation has one compact, self-adjoint, and strongly positive operator (with constant limits of integration) and two non-self-adjoint integral Volterra operators (with a variable upper limit of integration) is considered. To solve the equation, an effective projection method allowing one to obtain the result in a form with explicitly distinguished principal singularities is proposed.
About the authors
A. V. Manzhirov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University; National Research Nuclear University MEPhI
Author for correspondence.
Email: manzh@inbox.ru
Russian Federation, Moscow, 117526; Moscow, 107005; Moscow, 115409
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