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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, номер 2, страницы 67–83
(Mi basm259)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Research articles
On solvability of one class of Hammerstein nonlinear integral equations
A. Kh. Khachatryan, Kh. A. Khachatryan Institute of Mathematics of National Academy of Sciences Armenia
Аннотация:
The article deals with one class of Hammerstein nonlinear integral equations with kernel depending on the sum and the difference of arguments. In the particular case of basic nonlinear equation the existence of one parameter family of solutions is proved. Using special solution of this family the solution of basic nonlinear equation is constructed and asymptotic behavior at infinity is investigated. At the end of the work some of examples are given.
Ключевые слова и фразы:
Hammerstein equation, factorization, set of parameters, iteration, Caratheodory condition.
Поступила в редакцию: 27.10.2009
Образец цитирования:
A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one class of Hammerstein nonlinear integral equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2, 67–83
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm259 https://www.mathnet.ru/rus/basm/y2010/i2/p67
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Страница аннотации: | 754 | PDF полного текста: | 95 | Список литературы: | 52 | Первая страница: | 1 |
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