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

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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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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