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Sbornik: Mathematics, 2016, Volume 207, Issue 12, Pages 1625–1649
DOI: https://doi.org/10.1070/SM8369 (Mi sm8369) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order

Z. S. Aliyevab

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b Faculty of Mechanics and Mathematics, Baku State University, Azerbaijan
English version PDF (685 kB) Citations (22)
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DOI: https://doi.org/10.1070/SM8369
Abstract: Nonlinear eigenvalue problems are investigated for ordinary differential equations of fourth order. Local and global bifurcations of nontrivial solutions of these problems are investigated. It is shown that the set of nontrivial solutions of the problems under consideration that bifurcate from points and intervals of the line of trivial solutions contains unbounded continua.
Bibliography: 42 titles.
Keywords: bifurcation point, bifurcation interval, eigenvalue, eigenfunction, continuum of solutions.
Received: 30.03.2014 and 27.06.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 12, Pages 3–29
DOI: https://doi.org/10.4213/sm8369
Bibliographic databases:
UDC: 517.927.25
MSC: Primary 34B15, 34C23; Secondary 34B08
Language: English
Original paper language: Russian
Citation: Z. S. Aliyev, “Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order”, Mat. Sb., 207:12 (2016), 3–29; Sb. Math., 207:12 (2016), 1625–1649
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:92
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