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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
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\jour Ufa Math. J.
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http://mi.mathnet.ru/eng/ufa196 http://mi.mathnet.ru/eng/ufa/v5/i2/p31
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