Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition
Consider the linear eigenvalue problem of fourth-order$$y^{(4)}(x)-(q(x)y'(x))'=\lambda y(x),\ \ \ 0<x<l,$$$$y(0)=y'(0)=0,$$$$(a_0+a_1\lambda+a_2\lambda^2)y'(l)+(b_0+b_1\lambda+b_2\lambda^2)y''(l)=0,$$$$y(l)\cos\delta-Ty(l)\sin\delta=0,$$where <em>λ&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020062/fulltext.html |