四阶非线性特征值问题解的全局分岔

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2021-11-26 DOI:10.1155/2021/7516324

Fatma Aydin Akgun

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引用次数: 0

摘要

本文研究了一类具有不可微非线性的四阶常微分方程的非线性特征值问题的无穷大全局分支。我们证明了在无穷远处分岔的解的两个无界连续族的存在性，它们对应于分岔区间附近的常见节点性质。

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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 corresponding to the usual nodal properties near bifurcation intervals.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks