Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We are concerned with the following superlinear fourth-order equation u4t+utφt,−ut=0, t∈0, 1; −u0=u1=0, −u′0=a, − u′1=-b, where a,−b are nonnegative constants such that a+b>0 and φt,−s is a nonnegative continuous function that is required to satisfy some appropriate conditions related to a class K satisfying suitable integrability condition.
Our purpose is to prove the existence, uniqueness, and global behavior of a classical positive solution to the above problem by using a method based on estimates on the Green function and perturbation arguments.
American Psychological Association (APA)
Bachar, Imed& Mâagli, Habib. 2014. Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040657
Modern Language Association (MLA)
Bachar, Imed& Mâagli, Habib. Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems. Journal of Function Spaces No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1040657
American Medical Association (AMA)
Bachar, Imed& Mâagli, Habib. Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040657