Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution

In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corres...

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Bibliographic Details
Main Author: Fatma Aydin Akgun
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2021/7516324
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Summary:In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals.
ISSN:1687-9651