Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems
Joint Authors
Harjani, J.
Caballero, J.
Sadarangani, Kishin B.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fourth-order boundary value problem: y(4)(t)=f(t,y(t)), t∈[0,1], y(0)=y(1)=y′(0)=y′(1)=0.
Moreover, under certain assumptions, we will prove that the above boundary value problem has a unique symmetric positive solution.
Finally, we present some examples and we compare our results with the ones obtained in recent papers.
Our analysis relies on a fixed point theorem in partially ordered metric spaces.
American Psychological Association (APA)
Caballero, J.& Harjani, J.& Sadarangani, Kishin B.. 2011. Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-480161
Modern Language Association (MLA)
Caballero, J.…[et al.]. Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems. Abstract and Applied Analysis No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-480161
American Medical Association (AMA)
Caballero, J.& Harjani, J.& Sadarangani, Kishin B.. Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-480161
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480161
