![](/images/graphics-bg.png)
On a Fourth-Order Boundary Value Problem at Resonance
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the spectrum structure of the eigenvalue problem u4x=λux, x∈0,1; u0=u1=u′0=u′1=0.
As for the application of the spectrum structure, we show the existence of solutions of the fourth-order boundary value problem at resonance -u4x+λ1ux+gx,ux=hx, x∈0,1; u0=u1=u′0=u′1=0, which models a statically elastic beam with both end-points being cantilevered or fixed, where λ1 is the first eigenvalue of the corresponding eigenvalue problem and nonlinearity g may be unbounded.
American Psychological Association (APA)
Xu, Man& Ma, Ruyun. 2017. On a Fourth-Order Boundary Value Problem at Resonance. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176368
Modern Language Association (MLA)
Xu, Man& Ma, Ruyun. On a Fourth-Order Boundary Value Problem at Resonance. Journal of Function Spaces No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1176368
American Medical Association (AMA)
Xu, Man& Ma, Ruyun. On a Fourth-Order Boundary Value Problem at Resonance. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176368
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176368