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VOLTERRA OPERATOR INCLUSIONS IN THE THEORY OF GENERALIZED NEURAL FIELD MODELS WITH CONTROL. I

ОПЕРАТОРНЫЕ ВКЛЮЧЕНИЯ ВОЛЬТЕРРЫ В ОБОБЩЕННЫХ МОДЕЛЯХ НЕЙРОПОЛЕЙ С УПРАВЛЕНИЕМ. I
Authors: BURLAKOV EVGENII OLEGOVICH;

VOLTERRA OPERATOR INCLUSIONS IN THE THEORY OF GENERALIZED NEURAL FIELD MODELS WITH CONTROL. I

Abstract

Получены условия разрешимости операторных включений Вольтерры и непрерывной зависимости решений от параметра. Результаты применены к исследованию обобщенных моделей нейрополей с управлением.We obtained conditions for solvability of Volterra operator inclusions and continuous dependence of the solutions on a parameter. These results were implemented to investigation of generalized neural field equations involving control.

Keywords

VOLTERRA OPERATOR INCLUSIONS,NEURAL FIELD EQUATIONS,CONTROL,EXISTENCE OF SOLUTIONS,CONTINUOUS DEPENDENCE ON PARAMETERS,ОПЕРАТОРНЫЕ ВКЛЮЧЕНИЯ ВОЛЬТЕРРЫ,МОДЕЛИ НЕЙРОПОЛЕЙ,УПРАВЛЕНИЕ,СУЩЕСТВОВАНИЕ РЕШЕНИЙ,НЕПРЕРЫВНАЯ ЗАВИСИМОСТЬ ОТ ПАРАМЕТРОВ, ОПЕРАТОРНЫЕ ВКЛЮЧЕНИЯ ВОЛЬТЕРРЫ,МОДЕЛИ НЕЙРОПОЛЕЙ,УПРАВЛЕНИЕ,СУЩЕСТВОВАНИЕ РЕШЕНИЙ,НЕПРЕРЫВНАЯ ЗАВИСИМОСТЬ ОТ ПАРАМЕТРОВ,VOLTERRA OPERATOR INCLUSIONS,NEURAL FIELD EQUATIONS,CONTROL,EXISTENCE OF SOLUTIONS,CONTINUOUS DEPENDENCE ON PARAMETERS

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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