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О разрешимости некоторых классов нелинейных интегродифференциальных уравнений с некомпактным операторoм

О разрешимости некоторых классов нелинейных интегродифференциальных уравнений с некомпактным операторoм

Abstract

Рассматривается класс нелинейных интегродифференциальных уравнений с некомпактным оператором типа Урысона. Доказываются теоремы существования неотрицательных и ограниченных решений. Изучается асимтотическое поведение решения в бесконечности. Также приводятся многочисленные примеры, которые представляют известный прикладной интерес.

Keywords

НЕЛИНЕЙНОСТЬ,NONLINEARITY,УРАВНЕНИЕ ТИПА УРЫСОНА,УСЛОВИЕ КАРАТЕОДОРИ,CARATHEODORY CONDITION,ПРОСТРАНСТВО СОБОЛЕВА,SOBOLEV SPACE,УРАВНЕНИE ТИПА ГАММЕРШТЕЙНА,ОПЕРАТОР ВИНЕРА-ХОПФА,WIENER-HOPF OPERATOR,ПОТОЧЕЧНАЯ СХОДИМОСТЬ,POINTWISE CONVERGENCE,URYSOHN-TYPE EQUATION,HAMMERSTEIN-TYPE EQUATION

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    popularity
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    influence
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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