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

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

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 point...

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Veröffentlicht in:Sbornik. Mathematics 2016-01, Vol.207 (12), p.1625-1649
1. Verfasser: Aliyev, Z. S.
Format: Artikel
Sprache:eng
Schlagworte:
bifurcation interval
bifurcation point
Bifurcations
continuum of solutions
Differential equations
eigenfunction
eigenvalue
Eigenvalues
Intervals
Mathematical analysis
Nonlinearity
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Zusammenfassung: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.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM8369