2013; Physical and Mathematical Sciences, 47(3 (232): 12–17
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SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS

Khach Khachatryan*

Received: 2025-02-17 · Published: 2013-11-20

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS
Author
Khach Khachatryan
Published
2013-11-20
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2013.47.3.012

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.
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