Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay

The difference-differential equation with variable delay which describes an impulse neuron model is analyzed. The asymptotic expansion of solution of the equation constructed in the paper has the higher order in comparison with the result of the previous research.

Bibliographic Details
Main Author: I. V. Paramonov
Format: Article
Language:English
Published: Yaroslavl State University 2007-06-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Online Access:https://www.mais-journal.ru/jour/article/view/1123
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spelling doaj-97460a4600e04309babb51310e8687fc2021-07-29T08:15:16ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172007-06-011423639864Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable DelayI. V. Paramonov0Ярославский государственный университетThe difference-differential equation with variable delay which describes an impulse neuron model is analyzed. The asymptotic expansion of solution of the equation constructed in the paper has the higher order in comparison with the result of the previous research.https://www.mais-journal.ru/jour/article/view/1123
collection DOAJ
language English
format Article
sources DOAJ
author I. V. Paramonov
spellingShingle I. V. Paramonov
Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
Modelirovanie i Analiz Informacionnyh Sistem
author_facet I. V. Paramonov
author_sort I. V. Paramonov
title Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
title_short Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
title_full Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
title_fullStr Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
title_full_unstemmed Construction of the Asymptotic Expansion of Solution of the Impulse Neuron Differential Equation with Variable Delay
title_sort construction of the asymptotic expansion of solution of the impulse neuron differential equation with variable delay
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2007-06-01
description The difference-differential equation with variable delay which describes an impulse neuron model is analyzed. The asymptotic expansion of solution of the equation constructed in the paper has the higher order in comparison with the result of the previous research.
url https://www.mais-journal.ru/jour/article/view/1123
work_keys_str_mv AT ivparamonov constructionoftheasymptoticexpansionofsolutionoftheimpulseneurondifferentialequationwithvariabledelay
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