Name
Abstract | ||
|---|---|---|
This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation x^@?(t)=@lg(t)f(t,x(t),x^''(t)),0=0 are constants such that @r=@a@d+@a@c+@b@d0, and @x"i@?(0,1),@h"i@?[0,+~)(i=1,2,...,m-2). By means of a fixed-point theorem due to Krasnaselskii, some new existence results of positive solutions for the above multi-point boundary value problem are obtained, which improve the main results of Graef et al. [J.R. Graef, C. Qian, B. Yang, A three-point boundary value problem for nonlinear fourth-order differential equations, J. Math. Anal. Appl. 287 (2003) 217-233]. An example is given to demonstrate the main results of this paper. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2007.08.048 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
main result,j.r. graef,paper deal,nonlinear fourth-order differential equation,positive solution,fourth-order m-point boundary value,new existence result,b. yang,three-point boundary value problem,multi-point boundary value problem,fourth-order nonlinear ordinary differential,differential equation,boundary condition,eigenvalue,fixed point theorem,boundary value problem,cone,ordinary differential equation,eigenvalues | Differential equation,Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Fourth order,Nonlinear differential equations,Mathematics,Fixed-point theorem,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
56 | 1 | Computers and Mathematics with Applications |
Citations | PageRank | References |
1 | 0.40 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinguang Zhang | 1 | 163 | 23.65 |
| Lishan Liu | 2 | 188 | 35.41 |