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Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-22
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We investigate nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition u(4)(t)-λh(t)f(t,u,u′′)=0, 0
Moreover f(t,x,y) may also have singularity at x=0 and/or y=0.
By using fixed point theory in cones, an explicit interval for λ is derived such that for any λ in this interval, the existence of at least one symmetric positive solution to the boundary value problem is guaranteed.
Our results extend and improve many known results including singular and nonsingular cases.
The associated Green's function for the above problem is also given.
American Psychological Association (APA)
Xu, Fuyi& Liu, Jian. 2010. Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-453012
Modern Language Association (MLA)
Xu, Fuyi& Liu, Jian. Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-453012
American Medical Association (AMA)
Xu, Fuyi& Liu, Jian. Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-453012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453012