Notice of Retraction: Positive solutions of higher-order three-point dynamic delay differential equations on time scales

Author(s):  
Feng Xu
2012 ◽  
Vol 2012 ◽  
pp. 1-19
Author(s):  
Hua Su ◽  
Lishan Liu ◽  
Xinjun Wang

We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-orderp-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem withp-Laplacian operator are obtained.


2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Jianhua Shen ◽  
Jing Dong

AbstractThe paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii’s fixed point theorem in cones. These results extend some of the existing literature.


2012 ◽  
Vol 2012 ◽  
pp. 1-23
Author(s):  
Hua Su ◽  
Lishan Liu ◽  
Xinjun Wang

LetTbe a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem withp-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem withp-Laplacian operator is obtained.


2000 ◽  
Vol 7 (2) ◽  
pp. 347-353 ◽  
Author(s):  
Wei Nian Li

Abstract The properties of solutions of higher order neutral differential equations with distributed type deviating arguments are obtained.


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