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 SM ISO690:2012KHACHATRYAN, Artak, KHACHATRYAN, Kh. On Solvability of one Class of Hammerstein Nonlinear Integral Equations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 2(63), pp. 67-83. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(63) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 67-83 | ||||||
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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. |
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| Cuvinte-cheie Hammerstein equation, set of parameters, iteration, Caratheodory condition, factorization |
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