Conditions of Invertibility for Functional Operators with Shift in Weighted Holder Spaces

被引：0

作者：

Tarasenko, G. ^{[1
]}

Karelin, O. ^{[1
]}

机构：

[1] Univ Autonoma Estado Hidalgo, Pachuca, Mexico

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2016年 / 67卷 / 11期

关键词：

D O I：

10.1007/s11253-016-1187-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider functional operators with shift in weighted Holder spaces. The main result of the work is the proof of the conditions of invertibility for these operators. We also indicate the forms of the inverse operators. As an application, we propose to use these results for the solution of equations with shift encountered in the study of cyclic models for natural systems with renewable resources.

引用

页码：1758 / 1772

页数：15

共 6 条

[1]

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[2]

Karelin O., 2013, APPL MATH, V4, P1376

[3]

Karlovich Yu. I., 1981, DIFF URAVN, V17, P2212

[4]

Kravchenko V.G., 1994, Introduction to the Theory of Singular Integral Operators with Shift

[5]

Litvinchuk GS., 2000, SOLVABILITY THEORY B, DOI DOI 10.1007/978-94-011-4363-9

[6] Modelling systems with renewable resources based on functional operators with shift [J].

Tarasenko, Anna ;

Karelin, Aleksandr ;

Perez Lechuga, Gilberto ;

Gonzalez Hernandez, Manuel .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (07) :1938-1944

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