Bifurcation of solutions from infinity for certain nonlinear eigenvalue problems of fourth-order ordinary differential equations
Date
2018-04-27
Authors
Aliyev, Ziyatkhan
Mustafayeva, Natavan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the global bifurcation from infinity of nonlinear eigenvalue problems for ordinary differential equations of fourth order. We prove the existence of unbounded continua of solutions emanating from asymptotically bifurcation points and intervals and having the usual nodal properties near these points and intervals.
Description
Keywords
Nonlinear eigenvalue problems, Bifurcation point, Bifurcation interval, Bifurcation from infinity, Global continua, Nodal properties of solutions
Citation
Aliyev, Z. S., & Mustafayeva, N. A. (2018). Bifurcation of solutions from infinity for certain nonlinear eigenvalue problems of fourth-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2018</i>(98), pp. 1-19.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.