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DOI: 10.23671/VNC.2012.14.10964

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
Language: Russian Download the full text  
For citation: Khachatryan Kh. A., Grigoryan S. A. On nontrivial solvability of a nonlinear Hammerstein-Volterra type integral equation.Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 2, pp.57-66. DOI 10.23671/VNC.2012.14.10964


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