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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 8, Pages 80–85 (Mi ivm9271)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Well-posedness of conditionally correct integro-differential equations in new pair of non-weighted Sobolev spaces

J. R. Agachev, M. Yu. Pershagin

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (167 kB) Citations (2)
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Abstract: In this paper we investigate the general boundary-value problem for linear integro-differential equations, specified on a segment of the number line where the order of the internal differential operators is of higher order than that of the corresponding exterior differential operator. We prove well-posedness of this problem in the Hadamard sense in new pair of non-weighted Sobolev spaces.
Keywords: Sobolev space, integro-differential equation, general boundary-value problem, well-posedness.
Received: 17.03.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 8, Pages 71–75
DOI: https://doi.org/10.3103/S1066369X17080084
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: J. R. Agachev, M. Yu. Pershagin, “Well-posedness of conditionally correct integro-differential equations in new pair of non-weighted Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 8, 80–85; Russian Math. (Iz. VUZ), 61:8 (2017), 71–75
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:22
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