Remarks on some fourth-order boundary value problems with non-monotone increasing eigenvalue sequences

By $Z_{2}$-index theory, the existence and multiplicity of solutions for some fourth-order boundary value problems $$ \begin{cases} u^{(4)}+au''=\mu u+F_{u}(t,u),\ 0<t<L,\\ u(0)=u(L)=u''(0)=u''(L)=0 \end{cases}$$ at resonance are studied, where $a>0$ and $\mu\i...

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Bibliographic Details
Main Authors: Chengyue Li, Yuhan Wu
Format: Article
Language:English
Published: University of Szeged 2016-01-01
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=4519