Exact asymptotic behavior of singular values of a class of integral operators

被引：0

作者：

Dostanic, M ^{[1
]}

机构：

[1] Matemat Fak, YU-11000 Belgrade, Yugoslavia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 1999年 / 49卷 / 04期

关键词：

Differential Equation; Mathematical Modeling; Ordinary Differential Equation; Asymptotic Behavior; Industrial Mathematic;

D O I：

10.1023/A:1022492731958

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find an exact asymptotic formula for the singular values of the integral operator of the form ∫Ω T(x, y)k(x-y) · dy: L2(Ω) → L2(Ω) (Ω ⊂ ℝm, a Jordan measurable set) where k(t) = k0((t21 + t22 ... t2m) m/2), k0(x) = xα-1 L(1/x), 1/2 - 1/2m < α < 1/2 and L is slowly varying function with some additional properties. The formula is an explicit expression in terms of L and T.

引用

页码：707 / 732

页数：26

共 50 条

[41] The asymptotic behavior of solutions for a class of differential equations [J].

Konechnaya N.N. .

Journal of Mathematical Sciences, 2007, 147 (1) :6430-6434

[42] EXACT BOUNDARY BEHAVIOR OF SOLUTIONS TO SINGULAR NONLINEAR DIRICHLET PROBLEMS [J].

Li, Bo ;

Zhang, Zhijun .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,

[43] Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equation [J].

Xia, Li ;

Yao, Zheng'an .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 358 (01) :182-188

[44] ASYMPTOTIC BEHAVIOR FOR THE UNIQUE POSITIVE SOLUTION TO A SINGULAR ELLIPTIC PROBLEM [J].

Mi, Ling .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (03) :1053-1072

[45] Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem [J].

Gontara, Sabrine ;

Maagli, Habib ;

Masmoudi, Syrine ;

Turki, Sameh .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) :719-729

[46] Asymptotic Behavior of the Hyperbolic Schwarz Map at Irregular Singular Points [J].

Koike, Tatsuya ;

Sasaki, Takeshi ;

Yoshida, Masaaki .

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2010, 53 (01) :99-132

[47] Asymptotic Behavior of Solutions to a Logistic Chemotaxis System with Singular Sensitivity [J].

Wanjuan DU .

JournalofMathematicalResearchwithApplications, 2021, 41 (05) :473-480

[48] Asymptotic Behavior of Exact Exchange for Slabs: Beyond the Leading Order [J].

Engel, Eberhard .

COMPUTATION, 2018, 6 (02)

[49] A singular integral equation with the Cauchy kernel on a closed interval in a class of distributions [J].

A. V. Setukha .

Differential Equations, 2004, 40 :1279-1290

[50] A singular integral equation with the Cauchy kernel on a closed interval in a class of distributions [J].

Setukha, AV .

DIFFERENTIAL EQUATIONS, 2004, 40 (09) :1279-1290

← 1 2 3 4 5 →