Finite Solutions to the Inverse Problem of the Logarithmic Potential

被引：4

作者：

Abubakirov, N. R. ^{[1
]}

Aksent'ev, L. A. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2016年 / 60卷 / 10期

关键词：

logarithmic potential; integral equation; starlikeness;

D O I：

10.3103/S1066369X1610008X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deduce a new solution set of inverse problems of the logarithmic potential in the form of a logarithmic function of the ratio of equal degree polynomials and give examples of the finite solvability of inverse problems.

引用

页码：55 / 58

页数：4

共 50 条

[1] Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential
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[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2018, 39 (02) : 151 - 160
[2] THE SOLUTION OF THE INVERSE PROBLEM OF A LOGARITHMIC POTENTIAL IN FINITE FORM
IVANOV, VK
[J]. DOKLADY AKADEMII NAUK SSSR, 1956, 106 (04): : 598 - 599
[3] ON THE UNIQUENESS OF THE INVERSE LOGARITHMIC POTENTIAL PROBLEM
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[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1986, 46 (02) : 324 - 344
[4] ON THE RESOLUTION OF THE INVERSE PROBLEM FOR THE LOGARITHMIC POTENTIAL
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) : 261 - 284
[5] UNIQUENESS OF THE INVERSE GRAVITY PROBLEM FOR LOGARITHMIC POTENTIAL
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[J]. IZVESTIYA AKADEMII NAUK SSSR FIZIKA ZEMLI, 1985, (06): : 27 - 47
[6] EXISTENCE THEOREM FOR INVERSE LOGARITHMIC POTENTIAL PROBLEM
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[7] EXISTENCE THEOREM OF INVERSE LOGARITHMIC POTENTIAL PROBLEM
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[8] INVERSE PROBLEM OF LOGARITHMIC POTENTIAL FOR A CONTACT SURFACE
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[9] LOCAL UNIQUENESS OF SOLUTION OF INVERSE LOGARITHMIC POTENTIAL PROBLEM
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[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1973, (08): : 683 - 687
[10] On Direct and Inverse Problems of Logarithmic Potential With Finite Number of Parameters
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