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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 181–188
DOI: https://doi.org/10.14498/vsgtu1136 (Mi vsgtu1136) 		 
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

On some classes of nonlinear integral equations with noncompact operators

Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, 375019, Armenia
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DOI: https://doi.org/10.14498/vsgtu1136
Abstract: The work is devoted to the investigation of some classes of nonlinear integral equations of Hammerstein–Nemitski type with noncompact operators. Above mentioned class of equations, beside the theoretical interest has immediately an application in kinetic theory of gases. The existence theorems for positive solutions in different functional spaces are proved.
Keywords: Hammerstein–Nemitski type integral equation, condition of conservativity, Caratheodory's condition, monotonicity, Wiener–Hopf equation.
Original article submitted 04/X/2012
revision submitted – 26/XII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.968.4
MSC: Primary 45G10; Secondary 45M20, 45L05
Language: Russian
Citation: Kh. A. Khachatryan, “On some classes of nonlinear integral equations with noncompact operators”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 181–188
Citation in format AMSBIB
\Bibitem{Kha13}
\by Kh.~A.~Khachatryan
\paper On some classes of nonlinear integral equations with noncompact operators
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 181--188
\mathnet{http://mi.mathnet.ru/vsgtu1136}
\crossref{https://doi.org/10.14498/vsgtu1136}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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