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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 1, Pages 79–83
DOI: https://doi.org/10.4213/faa3055 (Mi faa3055) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

On Local Solutions of Degenerate Differential Inclusions

B. D. Gel'man

Voronezh State University
Full-text PDF (169 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3055
Abstract: We study the existence and properties of local solution sets for differential inclusions of the form (Ax)′∈F(t,x), where A is a closed linear surjective operator with nontrivial null space and F is a compact set-valued mapping.
Keywords: surjective linear operator, operator inclusion, topological dimension, a differential inclusion.
Received: 19.05.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 1, Pages 66–68
DOI: https://doi.org/10.1007/s10688-012-0009-1
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
Language: Russian
Citation: B. D. Gel'man, “On Local Solutions of Degenerate Differential Inclusions”, Funktsional. Anal. i Prilozhen., 46:1 (2012), 79–83; Funct. Anal. Appl., 46:1 (2012), 66–68
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa3055
  • https://doi.org/10.4213/faa3055
  • https://www.mathnet.ru/eng/faa/v46/i1/p79
    • This publication is cited in the following 3 articles:
    1. B. D. Gel'man, “A Hybrid Fixed-Point Theorem for Set-Valued Maps”, Math. Notes, 101:6 (2017), 951–959  mathnet  crossref  crossref  mathscinet  isi  elib
    2. B. D. Gel'man, “The Solution Set of a Class of Equations with Surjective Operators”, Funct. Anal. Appl., 49:1 (2015), 60–63  mathnet  crossref  crossref  zmath  isi  elib
    3. Gelman B.D., Zavyalova A.V., “Ob odnom klasse vyrozhdennykh differentsialnykh vklyuchenii”, Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika, 2013, no. 1, 136–145  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:438
    Full-text PDF :195
    References:74
    First page:19
     
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