Explicit Solutions of Linear Stieltjes Integral Equations

被引：2

作者：

Slavik, Antonin ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 02期

关键词：

Stieltjes integral equation; Kurzweil-Stieltjes integral; explicit solution formula; existence and uniqueness of solutions;

D O I：

10.1007/s00025-022-01816-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve known results on the existence and uniqueness of solutions for two types of scalar linear Stieltjes integral equations, which are adjoint to each other. The main results are explicit solution formulas for homogeneous as well as nonhomogeneous problems.

引用

页数：28

共 50 条

[1] Explicit Solutions of Linear Stieltjes Integral Equations
Antonín Slavík
[J]. Results in Mathematics, 2023, 78
[2] ON MULTIPLICATION OF SOLUTIONS OF LINEAR STIELTJES INTEGRAL EQUATIONS
LOVELADY, DL
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[3] PERTURBATIONS OF SOLUTIONS OF STIELTJES INTEGRAL EQUATIONS
LOVELADY, DL
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 155 (01) : 175 - &
[4] BOUNDED SOLUTIONS OF STIELTJES INTEGRAL EQUATIONS
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (01) : 127 - &
[5] VOLTERRA-STIELTJES INTEGRAL-EQUATIONS WITH LINEAR CONSTRAINTS AND DISCONTINUOUS SOLUTIONS
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[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (03) : 593 - 598
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (03) : 506 - &
[8] A BOUND FOR SOLUTIONS OF VOLTERRA-STIELTJES INTEGRAL EQUATIONS
MARTIN, RH
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 674 - &
[9] MULTIPLICATIVE INVERSES OF SOLUTIONS FOR VOLTERRA-STIELTJES INTEGRAL EQUATIONS
HEROD, JV
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (03) : 650 - &
[10] LINEAR VOLTERRA-STIELTJES INTEGRAL-EQUATIONS AND CONTROL
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[J]. LECTURE NOTES IN MATHEMATICS, 1983, 1017 : 67 - 72

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