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

In this paper, we study the global structure of nodal solutions of $$ \begin{cases} u''''(x)=\lambda h(x)f(u(x)), & 0<x<1, \\ u(0)=u(1)=u'(0)=u'(1)=0,\\ \end{cases}$$ where $\lambda > 0$ is a parameter, $h\in C([0,1],(0, \infty))$, $f\in C(\mathbb{R})$ and...

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Bibliographic Details
Main Authors: Ruyun Ma, Dongliang Yan, Liping Wei
Format: Article
Language:English
Published: University of Szeged 2020-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8936