Positive Solutions for a System of Fourth-Order p-Laplacian Boundary Value Problems
Joint Authors
Source
Chinese Journal of Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate the existence of positive solutions for the system of fourth-order p-Laplacian boundary value problems (|u′′|p-1u′′)′′=f1(t,u,v), (|v′′|q-1v′′)′′=f2(t,u,v), u(2i)(0)=u(2i)(1)=0, i=0,1, v(2i)(0)=v(2i)(1)=0, i=0,1, where p,q>0 and f1,f2∈C([0,1]×ℝ+2,ℝ+) (ℝ+:=[0,∞)).
Based on a priori estimates achieved by utilizing Jensen’s integral inequalities and nonnegative matrices, we use fixed point index theory to establish our main results.
American Psychological Association (APA)
Sun, Lianlong& Yang, Zhilin. 2013. Positive Solutions for a System of Fourth-Order p-Laplacian Boundary Value Problems. Chinese Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507745
Modern Language Association (MLA)
Sun, Lianlong& Yang, Zhilin. Positive Solutions for a System of Fourth-Order p-Laplacian Boundary Value Problems. Chinese Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-507745
American Medical Association (AMA)
Sun, Lianlong& Yang, Zhilin. Positive Solutions for a System of Fourth-Order p-Laplacian Boundary Value Problems. Chinese Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507745
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507745