Geodesic
Solution of one Volterra type nonlinear integral equation on positive semi-axis
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 12-17

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The work is devoted to the investigation of one class of Volterra type nonlinear integral equations on positive half-line. The specified class of equations except for self-interest in mathematics has also important applications in physical kinetics. The combination of special factorization methods with methods of construction of invariant cone segments allows us to construct a non-negative solution of initial equation, and investigate integral asymptotics of that solution at infinity.
Keywords: factorization, Caratheodory’s condition, asymptotics. 
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Kh. A. Khachatryan; T. H. Sardaryan. Solution of one Volterra type nonlinear integral equation on positive semi-axis. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 12-17. http://geodesic.mathdoc.fr/item/UZERU_2013_3_a1/