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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 7, Pages 3–15 (Mi ivm9372)  
This article is cited in 4 scientific papers (total in 4 papers)

Uniquely solvable problems for abstract Legendre equation

A. V. Glushak

Belgorod State National Research University, 85 Pobedy str., Belgorod, 308015 Russia
Full-text PDF (236 kB) Citations (4)
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Abstract: For loaded abstract Legendre equation we find sufficient conditions of solvability of the Cauchy problem and the boundary control problem. We also consider nonlocal problem that contains fractional integral of a function with respect to another function.
Keywords: abstract Legendre abstract equation, Cauchy problem, unique solvability, nonlocal condition, fractional integral of a function with respect another function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197_а
Received: 15.04.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 7, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X18070010
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “Uniquely solvable problems for abstract Legendre equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 3–15; Russian Math. (Iz. VUZ), 62:7 (2018), 1–12
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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