SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS

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SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS Khach Khachatryan

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.

DOI: 10.46991/PYSUA.2013.47.3.012 Physical and Mathematical Sciences, 47(3 (232) 12-17

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Keywords

factorization, Caratheodory’s condition, asymptotics

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