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...
Main Authors: | , |
---|---|
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¶mtipus_ertek=publication¶m_ertek=4519 |