ON NONLINEAR CONVOLUTION-TYPE INTEGRAL EQUATIONS IN THE THEORY OF p-ADIC STRINGS

被引：0

作者：

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

Khachatryan, Kh. A. ^{[2
,3
]}

Petrosyan, H. S. ^{[1
,3
]}

机构：

[1] Natl Agrarian Univ Armenia, Yerevan, Armenia

[2] Yerevan State Univ, Yerevan, Armenia

[3] Lomonosov Moscow State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2023年 / 216卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

monotonicity; kernel; nonlinearity; nonnegative solution; convexity; convolution; BOUNDARY-VALUE PROBLEM;

D O I：

10.1134/S0040577923070127

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a class of integral equations of convolution type on the whole line with a monotone and odd nonlinearity. We prove constructive existence and absence theorems for nonnegative (nontrivial) and bounded solutions. We study the asymptotic behavior of the constructed solution at +/-infinity. We also prove the uniqueness of the solution in the class of nonnegative (nonzero) and bounded functions and present specific examples of this class of equations that can be applied in various fields of mathematical physics.

引用

页码：1068 / 1081

页数：14

共 39 条

[1] Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of p-Adic Strings and Physical Kinetics
Khachatryan, Kh. A.
Khachatryan, A. Kh.
Narimanyan, A. Zh.
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2024, 16 (01) : 43 - 59
[2] On nonlinear convolution-type integral equations in the theory of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-adic strings
A. Kh. Khachatryan
Kh. A. Khachatryan
H. S. Petrosyan
Theoretical and Mathematical Physics, 2023, 216 (1) : 1068 - 1081
[3] On the Constructive Solvability of a Two-Dimensional Nonlinear Integral Equation Arising in the Theory of p-Adic Strings
Khachatryan, Kh. A.
Petrosyan, H. S.
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2022, 14 (SUPPL 1) : S74 - S82
[4] On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings
Khachatryan, Kh A.
Petrosyan, H. S.
VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2020, 16 (04): : 423 - 436
[5] Solvability of Some Classes of Nonlinear Singular Boundary Value Problems in the Theory of p-Adic Open-Closed Strings
Kh. A. Khachatryan
Theoretical and Mathematical Physics, 2019, 200 : 1015 - 1025
[6] Solvability of Some Classes of Nonlinear Singular Boundary Value Problems in the Theory of p-Adic Open-Closed Strings
Khachatryan, Kh. A.
THEORETICAL AND MATHEMATICAL PHYSICS, 2019, 200 (01) : 1015 - 1025
[7] On a class of convolution type nonlinear integral equations with an even kernel
Khachatryan, Kh. A.
Petrosyan, H. S.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2022, 37 (20-21):
[8] Generalized convolutions and the integral equations of the convolution type
Bui Thi Giang
Nguyen Minh Tuan
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (04) : 331 - 345
[9] On a Class of Nonlinear Integral Equations of the Hammerstein–Volterra Type on a Semiaxis
Kh. A. Khachatryan
H. S. Petrosyan
Russian Mathematics, 2023, 67 : 64 - 73
[10] Solvability issues for a class of convolution type nonlinear integral equations in R-n
Khachatryan, Khachatur Aghavardovich
Petrosyan, Haykanush Samvelovna
Avetisyan, Metaksya Hovnanovna
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2018, 24 (03): : 247 - 262

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