M. F. Broyan, Kh. A. Khachatryan, “On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line”, Ufimsk. Mat. Zh., 2013, Volume 5, Issue 2,Pages <nobr>31

This article is cited in 1 paper

On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line

M. F. Broyan^a, Kh. A. Khachatryan^b

^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.

UDC: 517.968.4+517.968.74

Received: 25.01.2012