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

Authors

  • M.F. Broyan
    Armenian National Agrarian University, Teryan str., 74, 0019, Erevan, Armenia
  • Kh.A. Khachatryan
    Institute of Mathematics of NAS RA, Marshal Baghramian avenue, 24/5, 0019, Erevan, Armenia

DOI:

https://doi.org/10.13108/2013-5-2-31

Keywords:

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

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.

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Published

20.06.2013

Issue

Vol. 5 No. 2 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 2

Section

Article