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 $sf(s)>0$ for $|s|>0$. We show the existenc...

Full beskrivning

Bibliografiska uppgifter

Huvudupphov:	Ruyun Ma, Dongliang Yan, Liping Wei
Materialtyp:	Artigo
Språk:	Inglês
Utgiven:	University of Szeged 2020-12-01
Serie:	Electronic Journal of Qualitative Theory of Differential Equations
Ämnen:	clamped beam fourth order equations connected component nodal solutions bifurcation
Länkar:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8936
Taggar:	Lägg till en tagg Inga taggar, Lägg till första taggen!