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Iteration for a Third-Order Three-Point BVP with Sign-Changing Green's Function
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We are concerned with the following third-order three-point boundary value problem: u‴(t)=f(t,u(t)), t∈[0,1],u′(0)=u(1)=0, u″(η)+αu(0)=0, where α∈[0,2) and η∈[2/3,1).
Although corresponding Green's function is sign-changing, we still obtain the existence of monotone positive solution under some suitable conditions on f by applying iterative method.
An example is also included to illustrate the main results obtained.
American Psychological Association (APA)
Zhao, Ya-Hong& Li, Xing-Long. 2014. Iteration for a Third-Order Three-Point BVP with Sign-Changing Green's Function. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-479970
Modern Language Association (MLA)
Zhao, Ya-Hong& Li, Xing-Long. Iteration for a Third-Order Three-Point BVP with Sign-Changing Green's Function. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-479970
American Medical Association (AMA)
Zhao, Ya-Hong& Li, Xing-Long. Iteration for a Third-Order Three-Point BVP with Sign-Changing Green's Function. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-479970
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479970