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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2013 Issue 3, Pages 12–17 (Mi uzeru76)

Mathematics

Solution of one Volterra type nonlinear integral equation on positive semi-axis

Kh. A. Khachatryan, T. H. Sardaryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Abstract: 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.

MSC: 45G05

Received: 22.07.2013
Accepted: 28.08.2013

Language: English



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