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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

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

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

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