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Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We establish the existence and uniqueness of a positive solution to the following fourth-order value problem: u ( 4 ) ( x ) = a ( x ) u σ ( x ) , x ∈ ( 0,1 ) with the boundary conditions u ( 0 ) = u ( 1 ) = u ' ( 0 ) = u ' ( 1 ) = 0 , where σ ∈ ( - 1,1 ) and a is a nonnegative continuous function on (0, 1) that may be singular at x = 0 or x = 1 .
We also give the global behavior of such a solution.
American Psychological Association (APA)
Alsaedi, Ramzi. 2014. Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014535
Modern Language Association (MLA)
Alsaedi, Ramzi. Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014535
American Medical Association (AMA)
Alsaedi, Ramzi. Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014535