On alternating and bounded solutions of one class of integral equations on the entire axis with monotonic nonlinearity

被引：1
作者：
Khachatryan, Kh A. [1 ,3 ,4 ]
Petrosyan, H. S. [2 ,5 ]
机构：
[1] Lomonosov Moscow State Univ, 1 Leninskie Gory, Moscow 119991, Russia
[2] Lomonosov Moscow State Univ, Phys & Math Sci, 1 Leninskie Gory, Moscow 119991, Russia
[3] Natl Acad Sci Armenia, Inst Math, 24-5 Marshal Baghramyan Pr, Yerevan 0019, Armenia
[4] Yerevan State Univ, 1 A Manukyan Str, Yerevan 0025, Armenia
[5] Armenian Natl Agr Univ, Phys & Math Sci, 74 Marshal Teryan Str, Yerevan 0009, Armenia
来源：
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2020年 / 24卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
monotonicity; nonlinearity; kernel; convexity; limited solution;
D O I：
10.14498/vsgtu1790
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The paper is devoted to the study of the existence and analysis of the qualitative properties of solutions for one class of integral equations with monotonic nonlinearity on the entire line. The indicated class of equations arises in the kinetic theory of gases. The constructive theorems of the existence of bounded solutions are proved, and certain qualitative properties of the constructed solutions are studied. At the end of the paper, specific applied examples of these equations are given.
引用
收藏
页码：644 / 662
页数：19
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