Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x′′(s))ds, x′′′(1)=0, where f∈C([0,1]×ℝ4), h∈C([0,1]×ℝ3).
By using a fixed point theorem due to D.
O'Regan, the existence of solutions and positive solutions for the previous boundary value problems is obtained.
Meanwhile, as applications, some examples are given to illustrate our results.
American Psychological Association (APA)
Li, Hui& Wang, Libo& Pei, Minghe. 2013. Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-497606
Modern Language Association (MLA)
Li, Hui…[et al.]. Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-497606
American Medical Association (AMA)
Li, Hui& Wang, Libo& Pei, Minghe. Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-497606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497606