Some Existence Results of Positive Solution to Second-Order Boundary Value Problems
Joint Authors
Zhang, Xiaoping
Li, Shuhong
Sun, Yongping
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study the existence of positive and monotone solution to the boundary value problem u′′(t)+f(t,u(t))=0, 0⩽t⩽1, u(0)=ξu(1), u'(1)=ηu'(0), where ξ,η∈(0,1)∪(1,∞).
The main tool is the fixed point theorem of cone expansion and compression of functional type by Avery, Henderson, and O’Regan.
Finally, four examples are provided to demonstrate the availability of our main results.
American Psychological Association (APA)
Li, Shuhong& Zhang, Xiaoping& Sun, Yongping. 2014. Some Existence Results of Positive Solution to Second-Order Boundary Value Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014145
Modern Language Association (MLA)
Li, Shuhong…[et al.]. Some Existence Results of Positive Solution to Second-Order Boundary Value Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014145
American Medical Association (AMA)
Li, Shuhong& Zhang, Xiaoping& Sun, Yongping. Some Existence Results of Positive Solution to Second-Order Boundary Value Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014145
