Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (4): 1005-1010.

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Global Bifurcation of Nodal Solutions for Nonlocal Fourth-Order Differential Equation

YANG Xinzhe   

  1. School of Mathematics and Statistics, Xidian University, Xi’an 710126, China
  • Received:2024-10-15 Online:2025-07-26 Published:2025-07-26

Abstract: By using the bifurcation method, the author study the bifurcation behavior of nodal solutions for two-point boundary value problems of fourth-order Kirchhoff type beam equation. When M and f satisfy suitable conditions, the author obtain  the existence results of their nodal solutions.

Key words: eigenvalue, Kirchhoff type beam equation, global bifurcation, nodal solution

CLC Number: 

  • O175.8