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Algebra i Analiz, 2019, Volume 31, Issue 2, Pages 152–173 (Mi aa1641)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Atypicality of power-law solutions to Emden-Fowler type higher order equations

I. V. Astashovaab

a Lomonosov Moscow State University
b Plekhanov Russian State University of Economics
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Abstract: For higher-order Emden-Fowler type equations, conditions on the roots of a certain polynomial related to the equation are obtained that are sufficient to ensure that asymptotically power-law solutions are atypical. Atypicality means that the set of initial data generating such solutions has measure zero. By using those conditions, atypicality of the asymptotically power-law solutions is proved for the equations of order $ 12$ to $ 203$ with sufficiently strong nonlinearity. A review of results is given for the asymptotically power-law behavior of blow-up solutions.
Keywords: Emden–Fowler equation, blow-up solutions, asymptotically power-law solutions.
Received: 27.11.2018
English version:
St. Petersburg Mathematical Journal, 2019, Volume 31, Issue 2, Pages 297–311
DOI: https://doi.org/10.1090/spmj/1597
Bibliographic databases:
Document Type: Article
MSC: Primary 34C11; Secondary 34E05
Language: Russian
Citation: I. V. Astashova, “Atypicality of power-law solutions to Emden-Fowler type higher order equations”, Algebra i Analiz, 31:2 (2019), 152–173; St. Petersburg Math. J., 31:2 (2019), 297–311
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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