吉林大学学报（理学版）2025，Vol.63Issue(4)：1005-1010,6.DOI:10.13413/j.cnki.jdxblxb.2024396
四阶非局部微分方程结点解的全局分歧
Global Bifurcation of Nodal Solutions for Nonlocal Fourth-Order Differential Equation
摘要
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{u″″(t)-M(∫10|u′|2dt)u″(t)=λf(t,u(t)),t∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0,where λ∈R is a parameter,M:[0,∞)→[0,∞)and f:[0,1]×R→R are smooth functions.When M and f satisfy suitable conditions,the author obtain the existence results of their nodal solutions.关键词
特征值/Kirchhoff型梁方程/全局分歧/结点解Key words
eigenvalue/Kirchhoff type beam equation/global bifurcation/nodal solution分类
数理科学引用本文复制引用
杨鑫哲..四阶非局部微分方程结点解的全局分歧[J].吉林大学学报（理学版）,2025,63(4):1005-1010,6.基金项目
国家自然科学基金(批准号:12061064 （）
12361040). （）
