[1]沈文国,包理群,纳仁花.含不可微非线性项的四阶边值问题单侧全局区间分歧[J].南京师大学报(自然科学版),2022,45(01):1-7.[doi:10.3969/j.issn.1001-4616.2022.01.001]
　Shen Wenguo,Bao Liqun,Na Renhua.The Unilateral Global Bifurcation from Intervals for Fourth-Order Problems Which are Not Linearizable[J].Journal of Nanjing Normal University(Natural Science Edition),2022,45(01):1-7.[doi:10.3969/j.issn.1001-4616.2022.01.001]
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含不可微非线性项的四阶边值问题单侧全局区间分歧()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第45卷
期数:
2022年01期
页码:
1-7
栏目:
·数学·
出版日期:
2022-03-15

文章信息/Info

Title:
The Unilateral Global Bifurcation from Intervals for Fourth-Order Problems Which are Not Linearizable
文章编号:
1001-4616(2022)01-0001-07
作者:
沈文国1; 包理群2; 纳仁花1
(1.兰州工业学院基础学科部,甘肃 兰州 730050)(2.兰州工业学院电子信息工程系,甘肃 兰州 730050)
Author(s):
Shen Wenguo1; Bao Liqun2; Na Renhua1
(1.Department of Basic Courses,Lanzhou Institute of Technology,Lanzhou 730050,China)(2.Department of Electronic and Information Engineering,Lanzhou Institute of Technology,Lanzhou 730050,China)
关键词:
四阶边值问题; 单侧全局区间分歧; 结点解
Keywords:
fourth-order problems; global interval bifurcation; nodal solutions
分类号:
O175.8
DOI:
10.3969/j.issn.1001-4616.2022.01.001
文献标志码:
A
摘要:
本文首先建立一类含不可微非线性项从无穷远处发出的单侧全局区间分歧定理. 我们将研究下列问题结点解的存在性...
Abstract:
In this paper,we shall establish the unilateral global bifurcation theorem which bifurcates theorem from infinity of a class of nonlinear fourth-order problems with non-differentiable nonlinearity. We shall study the existence of nodal solutions for the following problem...

参考文献/References:

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[2]DAI G W,HAN X L. Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight[J]. Applied mathematics and computation,2013,219:9399-9407.
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备注/Memo

备注/Memo:
收稿日期:2020-05-21.
基金项目:兰州工业学院‘开物’科研创新团队支持计划项目(2018KW-03)、国家自然科学基金项目(11561038)、甘肃省自然科学基金项目(20JR5RA377).
通讯作者:沈文国,博士,教授,研究方向:非线性泛函微分方程与分歧理论. E-mail:shenwg369@163.com
更新日期/Last Update: 1900-01-01