1. ON QUALITATIVE PROPERTIES OF A SOLUTION OF ONE CLASS SINGULAR INTEGRAL EQUATIONS ON THE WHOLE LINE WITH ODD NONLINEARITY
- Author
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Khachatryan, A.Kh. and Khachatryan, Kh.A.
- Subjects
Mathematics - Abstract
A class of nonlinear singular integral equations on the whole line is considered. This class of equations for specific representations of nonlinearity and kernel arises in dynamic theory of p-adic strings, in mathematical theory of the pandemic spread within the framework of modified Diekmann-Kapper model, in the theory of radiative transfer in nonhomogeneous medium and kinetic theory of gases. In this paper we will investigate and reveal new qualitative properties of the solution of the above mentioned equations. Relying on these properties as well as some geometric inequalities for convex downward functions we will prove the uniqueness of the solution in the class of bounded functions whose infimum is a positive number. At the end we will present examples of such equations, satisfying all restrictions of the proven statements., Author(s): A.Kh. Khachatryan [sup.1], Kh.A. Khachatryan [sup.2] Author Affiliations: (1) https://ror.org/05xvhyj32, grid.449095.5, 0000 0004 0482 6758, Armenian National Agrarian University, , 74 Teryan St., 0009, Yerevan, Armenia (2) https://ror.org/00s8vne50, grid.21072.36, [...]
- Published
- 2023
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