On Solvability of One Class of Nonlinear Integral Equations on Whole Line with Two Monotone Nonlinearities

被引：0

作者：

Khachatryan, Kh A. ^{[1
,2
]}

Andriyan, S. M. ^{[3
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow, Russia

[2] Natl Acad Sci Armenia, Inst Math, Yerevan, Armenia

[3] Armenian Natl Agr Univ, Yerevan, Armenia

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2020年 / 12卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

singular; convexity; iterations; monotonicity; limit of a solution; uniqueness of a solution; MODEL;

D O I：

10.1134/S2070046620040019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a class of nonlinear singular integral equations with two monotone nonlinearities on the whole line. These equations have both theoretical and practical interest. We prove the existence theorem of a solution and the uniqueness theorem in a certain class of continuous and odd on R \ {0} functions. The results of the work summarize some previously obtained research results in this direction. We find the limits of the solution of the equation at +/-infinity. For obtained solution we investigate some its properties. We also establish the integral asymptotic for the constructed solutions. The results are illustrated by examples of the equations under consideration.

引用

页码：259 / 275

页数：17

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