The theorem on existence of singular solutions to nonlinear equations
The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case when the linear part is singular at the considered initial...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2005-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/files/pdf/2003_en.pdf |
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Article |
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doaj-57dc6d6b20fc4f2fafb7e3a6a4cb9d772021-07-02T04:13:24ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322005-01-01122236The theorem on existence of singular solutions to nonlinear equationsPrusinska А.Tret'yakov А.The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case when the linear part is singular at the considered initial point. We formulate conditions for existence of solutions of equation F(x) = 0 when first p - 1 derivatives of F are singular.http://issuesofanalysis.petrsu.ru/files/pdf/2003_en.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Prusinska А. Tret'yakov А. |
| spellingShingle |
Prusinska А. Tret'yakov А. The theorem on existence of singular solutions to nonlinear equations Проблемы анализа |
| author_facet |
Prusinska А. Tret'yakov А. |
| author_sort |
Prusinska А. |
| title |
The theorem on existence of singular solutions to nonlinear equations |
| title_short |
The theorem on existence of singular solutions to nonlinear equations |
| title_full |
The theorem on existence of singular solutions to nonlinear equations |
| title_fullStr |
The theorem on existence of singular solutions to nonlinear equations |
| title_full_unstemmed |
The theorem on existence of singular solutions to nonlinear equations |
| title_sort |
theorem on existence of singular solutions to nonlinear equations |
| publisher |
Petrozavodsk State University |
| series |
Проблемы анализа |
| issn |
2306-3424 2306-3432 |
| publishDate |
2005-01-01 |
| description |
The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case when the linear part is singular at the considered initial point. We formulate conditions for existence of solutions of equation F(x) = 0 when first p - 1 derivatives of F are singular. |
| url |
http://issuesofanalysis.petrsu.ru/files/pdf/2003_en.pdf |
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AT prusinskaa thetheoremonexistenceofsingularsolutionstononlinearequations AT tretyakova thetheoremonexistenceofsingularsolutionstononlinearequations AT prusinskaa theoremonexistenceofsingularsolutionstononlinearequations AT tretyakova theoremonexistenceofsingularsolutionstononlinearequations |
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