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 50 条

[31] Particle theory at Chicago in the late sixties and p-Adic strings*
Frampton, Paul H.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (19)
[32] Parabolic type equations on p-adic balls
Casas-Sanchez, O. F.
Rodriguez-Vega, J. J.
BOLETIN DE MATEMATICAS, 2015, 22 (01): : 97 - 106
[33] 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
[34] CONVOLUTION-TYPE EQUATIONS IN THE ANTENNA-ARRAY THEORY (REVIEW)
CHAPLIN, AF
KHZMALYAN, AD
RADIOTEKHNIKA I ELEKTRONIKA, 1991, 36 (02): : 225 - 238
[35] NONLOCAL DYNAMICS OF p-ADIC STRINGS
Dragovich, B. G.
THEORETICAL AND MATHEMATICAL PHYSICS, 2010, 164 (03) : 1151 - 1155
[36] Nonlocal dynamics of p-adic strings
B. G. Dragovich
Theoretical and Mathematical Physics, 2010, 164 : 1151 - 1155
[37] Nonexistence of solutions of the p-adic strings
V. S. Vladimirov
Theoretical and Mathematical Physics, 2013, 174 : 178 - 185
[38] Nonexistence of solutions of the p-adic strings
Vladimirov, V. S.
THEORETICAL AND MATHEMATICAL PHYSICS, 2013, 174 (02) : 178 - 185
[39] p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields
Wu, Bo
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[40] p-Adic differential equations and p-adic coefficients on curves
Christol, G
Mebkhout, Z
ASTERISQUE, 2002, (279) : 125 - +

← 1 2 3 4 5 →