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An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications

An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications

A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray – Schauder fixed point theorem and a study of the solution manifold to a nonlinear Hamilto...

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Main Author: Prykarpatsky, A.K.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Series:Український математичний журнал
Subjects:
Статті
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164506
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spelling irk-123456789-1645062020-02-10T01:28:04Z An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications Prykarpatsky, A.K. Статті A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray – Schauder fixed point theorem and a study of the solution manifold to a nonlinear Hamilton – Jacobi type equation are presented. Запропоновано узагальнення класичної теореми Лерея - Шаудера про нерухому точку, що ґрунтується на нєскінчєнновимірній конструкції антиподiв типу Борсука-Улама. Наведено нестандартне доведення класичної теореми Лерея - Шаудера про нерухому точку та досліджено многовид розв'язків нелінійного рівняння типу Гамільтона-Якобі. 2008 Article An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications / A.K. Prykarpatsky // Український математичний журнал. — 2008. — Т. 60, № 1. — С.100–106. — Бібліогр.: 28 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164506 517.9 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Prykarpatsky, A.K.
An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
Український математичний журнал
description A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray – Schauder fixed point theorem and a study of the solution manifold to a nonlinear Hamilton – Jacobi type equation are presented.
format Article
author Prykarpatsky, A.K.
author_facet Prykarpatsky, A.K.
author_sort Prykarpatsky, A.K.
title An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
title_short An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
title_full An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
title_fullStr An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
title_full_unstemmed An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
title_sort infinite-dimensional borsuk-ulam-type generalization of the leray-schauder fixed-point theorem and some applications
publisher Інститут математики НАН України
publishDate 2008
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/164506
citation_txt An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications / A.K. Prykarpatsky // Український математичний журнал. — 2008. — Т. 60, № 1. — С.100–106. — Бібліогр.: 28 назв. — англ.
series Український математичний журнал
work_keys_str_mv AT prykarpatskyak aninfinitedimensionalborsukulamtypegeneralizationofthelerayschauderfixedpointtheoremandsomeapplications
AT prykarpatskyak infinitedimensionalborsukulamtypegeneralizationofthelerayschauderfixedpointtheoremandsomeapplications
first_indexed 2023-10-18T22:13:49Z
last_indexed 2023-10-18T22:13:49Z
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