Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons
The theory of $u_{0}$-positive operators with respect to a cone in a Banach space is applied to the linear differential equations $u^{(4)}+\lambda_{1} p(x)u=0$ and $u^{(4)}+\lambda_{2} q(x)u=0$, $0\leq x\leq 1$, with each satisfying the boundary conditions $u(0)=u^{\prime}(r)=u^{\prime \prime}(r)=u^...
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Format: | Article |
Language: | English |
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University of Szeged
2011-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1269 |