Positive Solutions for a Fourth-Order Boundary Value Problem
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the existence and multiplicity of positive solutions for the fourth-order boundary value problem u(4)=f(t,u,u′,−u′′, u′′′),u(0)=u′(1)=u′′′(0)=u′′(1)=0.
Here f∈C([0,1]×ℝ+4,ℝ+)(ℝ+:=[0,+∞)).
We use fixed point index theory to establish our main results based on a priori estimates achieved by utilizing some integral identities and integral inequalities.
American Psychological Association (APA)
Wang, Kun& Yang, Zhilin. 2013. Positive Solutions for a Fourth-Order Boundary Value Problem. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-462923
Modern Language Association (MLA)
Wang, Kun& Yang, Zhilin. Positive Solutions for a Fourth-Order Boundary Value Problem. Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-462923
American Medical Association (AMA)
Wang, Kun& Yang, Zhilin. Positive Solutions for a Fourth-Order Boundary Value Problem. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-462923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462923