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

Z. S. Aliyev

Sbornik. Mathematics, Tome 207 (2016) no. 12, pp. 1625-1649

Résumé

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.

Détail

Keywords: eigenvalue, eigenfunction, continuum of solutions.
Mots-clés : bifurcation point, bifurcation interval

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