Kh. A. Khachatryan, S. A. Grigoryan, “On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation”, Vladikavkaz. Mat. Zh., 2012, Volume 14, Number 2,Pages <nobr>57

This article is cited in 3 papers

On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation

Kh. A. Khachatryan^a, S. A. Grigoryan^b

^a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
^b State Agrarian University of Armenia, Yerevan, Armenia

Abstract: The existence is studied of one parametric family of positive bounded solutions for a class of Hammerstein–Volterra type nonlinear homogeneous integral equations. This class of equations has important applications in the kinetic theory of gases.

Key words: Hammerstein–Volterra type equation, factorization, iterative approximation, kernel.

UDC: 517.968.22+517.968.4

Received: 20.01.2011