Z. S. Aliyev, “Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order”, Mat. Sb., 2016, Volume 207, Number 12,Pages <nobr>3

This article is cited in 22 papers

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

Z. S. Aliyev^ab

^a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
^b Faculty of Mechanics and Mathematics, Baku State University, Azerbaijan

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.

UDC: 517.927.25

MSC: Primary 34B15, 34C23; Secondary 34B08

Received: 30.03.2014 and 27.06.2016

DOI: 10.4213/sm8369