On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals

Author(s):  
Abdulkadir Dogan
Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 415-433
Author(s):  
Karaca Yaslan ◽  
Aycan Sinanoglu

In this paper, four functionals fixed point theorem is used to investigate the existence of positive solutions for second-order time-scale boundary value problem of impulsive dynamic equations on the half-line.


Filomat ◽  
2014 ◽  
Vol 28 (10) ◽  
pp. 2163-2173
Author(s):  
Ismail Yaslan ◽  
Zehra Haznedar

In this paper, we consider nonlinear second order m-point impulsive time scale boundary value problems on infinite intervals. By using Leray-Schauder fixed point theorem, Avery-Henderson fixed point theorem and the five functional fixed point theorem, respectively, we establish the criteria for the existence of at least one, two and three positive solutions to the nonlinear impulsive time scale boundary value problems on infinite intervals.


Positivity ◽  
2017 ◽  
Vol 21 (4) ◽  
pp. 1483-1493 ◽  
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi

2021 ◽  
Vol 7 (1) ◽  
pp. 20-29
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi

AbstractIn this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem. The results obtained here extend the work of Culakova, Hanustiakova and Olach [12]. Two examples are also given to illustrate this work.


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