ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Approximate solution of integral equations on the Hopfield neural networks

I. V. Boykov1, O. A. Baulina2

AnnotationContinuous methods for solving operator equations in Banach spaces are envestigated. Applications of these methods to the solution of linear and non-linear Fredholm integral equations, singular and hypersingular integral equations on Hopfield neural networks are given.
KeywordsHopfield neural network, integral Fredholm equations, hypersingular integral equations.

1Head of Higher and Applied Mathematics Chair,Penza State University, Penza; boikov@pnzgu.ru.

2Post-graduate student of Higher and Applied Mathematics Chair, Penza State University, Penza; golovolomka@list.ru

Citation: I. V. Boykov, O. A. Baulina, "[Approximate solution of integral equations on the Hopfield neural networks]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:1 (2013) 41–51 (In Russian)