Academic Journal
Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations.
| Τίτλος: | Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations. |
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| Συγγραφείς: | Arutyunov, A. V., Zhukovskiy, S. E. |
| Πηγή: | Proceedings of the Steklov Institute of Mathematics; Mar2021, Vol. 312 Issue 1, p1-15, 15p |
| Περίληψη: | For nonlinear mappings acting in Banach spaces, we examine inverse and implicit function theorems under various smoothness assumptions. For various regularity (normality) conditions imposed on such mappings, we prove that the corresponding equations have solutions under any sufficiently small (in the norm) completely continuous perturbations. A priori estimates for these solutions are obtained. [ABSTRACT FROM AUTHOR] |
| Copyright of Proceedings of the Steklov Institute of Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Arutyunov%2C+A%2E+V%2E%22">Arutyunov, A. V.</searchLink><br /><searchLink fieldCode="AR" term="%22Zhukovskiy%2C+S%2E+E%2E%22">Zhukovskiy, S. E.</searchLink> – Name: TitleSource Label: Source Group: Src Data: Proceedings of the Steklov Institute of Mathematics; Mar2021, Vol. 312 Issue 1, p1-15, 15p – Name: Abstract Label: Abstract Group: Ab Data: For nonlinear mappings acting in Banach spaces, we examine inverse and implicit function theorems under various smoothness assumptions. For various regularity (normality) conditions imposed on such mappings, we prove that the corresponding equations have solutions under any sufficiently small (in the norm) completely continuous perturbations. A priori estimates for these solutions are obtained. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Proceedings of the Steklov Institute of Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0081543821010016 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Titles: – TitleFull: Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Arutyunov, A. V. – PersonEntity: Name: NameFull: Zhukovskiy, S. E. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2021 Type: published Y: 2021 Identifiers: – Type: issn-print Value: 00815438 Numbering: – Type: volume Value: 312 – Type: issue Value: 1 Titles: – TitleFull: Proceedings of the Steklov Institute of Mathematics Type: main |
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