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Tambov University Reports Series Natural and Technical Sciences
Article . 2009
Data sources: CyberLeninka - Russian open access scientific library
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Обобщенно вольтерровые операторы в метрических пространствах

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2009 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования «Тамбовский государственный университет имени Г. Р. Державина»Journal:Вестник Тамбовского университета. Серия: Естественные и технические науки (issn: 1810-0198, Copyright policy )

Обобщенно вольтерровые операторы в метрических пространствах

Abstract

Исследуются свойства вольтерровых на системе отношений эквивалентности операторов, действующих в метрических пространствах. Для уравнений с такими операторами получены условия существования решений и их продолжаемости. Работа выполнена при финансовой поддержке Российского фонда фундаментальных исследований (гранты 09-01-97503, 07-01-00305), Министерства образования и науки РФ (программа РНП № 2.1.1/1131), Норвежской Национальной Программы Научных Исследований FUGE (грант PRO 06/02) при Совете научных исследований Норвегии и Норвежского Комитета по развитию университетской науки и образования (NUFU).

Properties of the Volterra operators on a system of equivalence relations with values in metric spaces are investigated. For the equations with operators of such a type the solution existence and extensibility conditions are obtained.

Keywords

ВОЛЬТЕРРОВЫЙ ОПЕРАТОР, УРАВНЕНИЕ VOLTERRA, СУЩЕСТВОВАНИЕ РЕШЕНИЙ, ПРОДОЛЖЕНИЕ РЕШЕНИЙ, МЕТРИЧЕСКОЕ ФАКТОР-ПРОСТРАНСТВО

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze