Multiplicity of nodal solutions for fourth order equation with clamped beam boundary conditions

被引：0
作者：
Ma, Ruyun [1 ]
Yan, Dongliang [1 ]
Wei, Liping [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, 967 Anning East Rd, Lanzhou 730070, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 85期
关键词：
clamped beam; fourth order equations; connected component; nodal solutions; bifurcation; POSITIVE SOLUTIONS; EIGENVALUE PROBLEMS; GLOBAL BIFURCATION; UNIQUENESS; EXISTENCE;
D O I：
10.14232/ejqtde.2020.1.85
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global structure of nodal solutions of {u''''(x) = lambda h(x)f(u(x)), 0 < x < 1, u(0) = u(1) = u'(0) = u'(1) = 0, where lambda > 0 is a parameter, h is an element of C( [0,1], (0, infinity)), f is an element of C(R) and sf (s) > 0 for vertical bar s vertical bar> 0. We show the existence of S-shaped component of nodal solutions for the above problem. The proof is based on the bifurcation technique.
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页码：1 / 14
页数：14
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