On January 24, 2018 at the general seminar of Institute be helds the report of the chief scientific employee of the department of the “Differential equation”, d.m.s., prof. Ziyatkhana Seyfaddin oglu Aliev on the theme “Global bifurcation of solutions of ceratin nonlinear eigenvalue problems for ordinary differential equations of fourth order “.

The paper presents linearizable and non-linearizable eigenvalue problems for ordinary differential equations of fourth order. Information will be provided on the structure of the bifurcation points of these problems, on the oscillatory properties of the eigenfunctions of completely regular Sturm systems in the presence of a potential, on the behavior of the components of the solution set of nonlinear problems contained in classes of functions possessing oscillatory properties of the eigenfunctions of linear problems.

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