On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We determine the principal eigenvalue of the linear problem u(4)(t)+βu′′(t)=μ[u(t)−u′′(t)], t∈(0,1), u(0)=u(1)=∫01p(s)u(s)ds, u′′(0)=u′′(1)=∫01q(s)u′′(s)ds, where 0<β<π2 and p,q∈L[0,1].
Moreover, we investigate the existence of positive solutions for the corresponding nonlinear problem.
The proofs of our main results are based upon the Krein-Rutman theorem and fixed point index theory.
American Psychological Association (APA)
Yan, Dongming. 2013. On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-509232
Modern Language Association (MLA)
Yan, Dongming. On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-509232
American Medical Association (AMA)
Yan, Dongming. On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-509232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509232