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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 52–57 (Mi ivm7160)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of the boundary value problem for a partial quasilinear differential equation of the fourth order

S. N. Timergaliev, I. R. Mavleev

Kama State Engineering Economic Academy, Naberezhnye Chelny, Russia
Full-text PDF (168 kB) Citations (1)
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Abstract: We use a topological method implying the reduction of the initial problem to solving an operational equation in a Hilbert space and consequent calculation of the rotation of the corresponding vector field. We show that in a sphere of a sufficiently large radius the problem has at least one generalized solution.
Keywords: operational equation, topological method, vector field rotation, generalized solution, Hilbert space.
Received: 04.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 45–50
DOI: https://doi.org/10.3103/S1066369X10120054
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: S. N. Timergaliev, I. R. Mavleev, “Solvability of the boundary value problem for a partial quasilinear differential equation of the fourth order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 52–57; Russian Math. (Iz. VUZ), 54:12 (2010), 45–50
Citation in format AMSBIB
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\paper Solvability of the boundary value problem for a~partial quasilinear differential equation of the fourth order
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\issue 12
\pages 52--57
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\transl
\jour Russian Math. (Iz. VUZ)
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\crossref{https://doi.org/10.3103/S1066369X10120054}
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  • https://www.mathnet.ru/eng/ivm7160
  • https://www.mathnet.ru/eng/ivm/y2010/i12/p52
    • This publication is cited in the following 1 articles:
    1. Yue Yu., Tian Yu., Zhang M., Liu J., “Existence of Infinitely Many Solutions For Fourth-Order Impulsive Differential Equations”, Appl. Math. Lett., 81 (2018), 72–78  crossref  mathscinet  zmath  isi  scopus
    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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    Abstract page:495
    Full-text PDF :111
    References:89
    First page:2
     
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