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Positive Solution of Fourth-Order Integral Boundary Value Problem with Two Parameters
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-26
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The author investigates the fourth-order integral boundary value problem with two parameters u(4)(t)+βu′′(t)-αu(t)=f(t,u),t∈(0,1), u(0)=u(1)=0, u′′(0)=∫01u(s)ϕ1(s)ds,u′′(1)=∫01u(s)ϕ2(s)ds, where nonlinear term function f is allowed to change sign.
Applying the fixed point index theorem on cone together with the operator spectrum theorem, some results on the existence of positive solution are obtained.
American Psychological Association (APA)
Chai, Guoqing. 2011. Positive Solution of Fourth-Order Integral Boundary Value Problem with Two Parameters. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-504007
Modern Language Association (MLA)
Chai, Guoqing. Positive Solution of Fourth-Order Integral Boundary Value Problem with Two Parameters. Abstract and Applied Analysis No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-504007
American Medical Association (AMA)
Chai, Guoqing. Positive Solution of Fourth-Order Integral Boundary Value Problem with Two Parameters. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-504007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504007