Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
By using a fixed point theorem in a cone and the nonlocal third-order BVP's Green function, the existence of at least one positive solution for the third-order boundary-value problem with the integral boundary conditions x′′′(t)+f(t,x(t),x′(t))=0, t∈J, x(0)=0, x′′(0)=0, and x(1)=∫01g(t)x(t)dt is considered, where f is a nonnegative continuous function, J=[0,1], and g∈L[0,1].
The emphasis here is that f depends on the first-order derivatives.
American Psychological Association (APA)
Guo, Yanping& Yang, Fei. 2013. Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-493388
Modern Language Association (MLA)
Guo, Yanping& Yang, Fei. Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-493388
American Medical Association (AMA)
Guo, Yanping& Yang, Fei. Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-493388
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493388