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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 2, Pages 67–83
(Mi basm259)
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This article is cited in 3 scientific papers (total in 3 papers)
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
Abstract:
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.
Keywords and phrases:
Hammerstein equation, factorization, set of parameters, iteration, Caratheodory condition.
Received: 27.10.2009
Citation:
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
Linking options:
https://www.mathnet.ru/eng/basm259 https://www.mathnet.ru/eng/basm/y2010/i2/p67
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Abstract page: | 750 | Full-text PDF : | 95 | References: | 50 | First page: | 1 |
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