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

Khachatryan Kh. A. , Grigoryan S. A.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 2.

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.

Keywords: Hammerstein-Volterra type equation, factorization, iterative approximation, kernel

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