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Ufimsk. Mat. Zh., 2013, Volume 5, Issue 2, Pages 31–42 (Mi ufa196)  
On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line

M. F. Broyana, Kh. A. Khachatryanb

a Armenian National Agrarian University, Teryan str., 74, 0019, Erevan, Armenia
b Institute of Mathematics of NAS RA, Marshal Baghramian avenue, 24/5, 0019, Erevan, Armenia

Abstract: The paper is devoted to the studying certain classes of nonlinear integral and integro-differential with non-compact Hammerstein type operators. These equations have important applications in the kinetic theory of gases and in the wealth distribution theory of a one product economics.

Keywords: integral equation, Hammerstein operator, Sobolev space, convergence, monotonicity.

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English version:
Ufa Mathematical Journal, 2013, 5:2, 31–42 (PDF, 353 kB); https://doi.org/10.13108/2013-5-2-31

Bibliographic databases:

UDC: 517.968.4+517.968.74
Received: 25.01.2012

Citation: M. F. Broyan, Kh. A. Khachatryan, “On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line”, Ufimsk. Mat. Zh., 5:2 (2013), 31–42; Ufa Math. J., 5:2 (2013), 31–42

Citation in format AMSBIB
\Bibitem{BroKha13}
\by M.~F.~Broyan, Kh.~A.~Khachatryan
\paper On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line
\jour Ufimsk. Mat. Zh.
\yr 2013
\vol 5
\issue 2
\pages 31--42
\mathnet{http://mi.mathnet.ru/ufa196}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3430774}
\elib{https://elibrary.ru/item.asp?id=19063034}
\transl
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 2
\pages 31--42
\crossref{https://doi.org/10.13108/2013-5-2-31}


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