scholarly journals Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations withp-Laplacian

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jufang Wang ◽  
Changlong Yu ◽  
Yanping Guo

We establish the existence of triple positive solutions of anm-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with ap-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve the known results.

2001 ◽  
Vol 162 ◽  
pp. 127-148 ◽  
Author(s):  
Zhongli Wei ◽  
Changci Pang

This paper investigates the existence of positive solutions of nonresonant singular boundary value problem of second order differential equations. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the fixed point theorems.


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