Title of article :
On the structure of global continua of solutions bifurcating from infinity of some nonlinear fourth order eigenvalue problems
Author/Authors :
Mustafayeva, Natavan A. Ganja State University, Ganja, Azerbaija
Abstract :
In this paper we consider bifurcation from infinity in some class of nonlinear eigenvalue problems for fourth order differential operators. We show the existence of two families of unbounded continua
of nontrivial solutions, corresponding to the nodal properties and bifurcating from the intervals at infinity.
Keywords :
asymptotically linear mapping , asymptotic bifurcation point , global bifurcation , , eigenvalue odd multiplicity , continua of solutions
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences