scholarly journals Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Fatma Tokmak ◽  
Ilkay Y Karaca
Filomat ◽  
2015 ◽  
Vol 29 (4) ◽  
pp. 817-827
Author(s):  
Ilkay Karaca ◽  
Fatma Fen

In this paper, by using fixed point index theory, we study the existence of positive solutions for nonlinear second-order m-point impulsive boundary value problems on time scales. As an application, we give an example to demonstrate our results.


2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Ilkay Yaslan Karaca ◽  
Fatma Tokmak Fen

AbstractThis paper is concerned with the existence of positive solutions of an


2009 ◽  
Vol 2009 ◽  
pp. 1-13
Author(s):  
Yanbin Sang

We study the existence of positive solutions for a class ofm-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.


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