scholarly journals Existence of positive periodic solutions for the impulsive Lotka–Volterra cooperative population model with time-delay and harvesting control on time scales

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Kaihong Zhao
Keyword(s):  
Time Delay ◽  
Periodic Solutions ◽  
Time Scales ◽  
Population Model ◽  
Positive Periodic Solutions

scholarly journals EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

2020 ◽  
Vol 6 (1) ◽  
pp. 42
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Second Order ◽  
Dynamic Equations ◽  
Positive Periodic Solutions ◽  
Main Method

In this article, we establish the existence of positive periodic solutions for second-order dynamic equations on time scales. The main method used here is the Schauder fixed point theorem. The exponential stability of positive periodic solutions is also studied. The results obtained here extend some results in the literature. An example is also given to illustrate this work.

scholarly journals THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES

2010 ◽  
Vol 53 (2) ◽  
pp. 369-377 ◽  
Author(s):  
YONGKUN LI ◽  
ERLIANG XU
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Time Scales ◽  
Dynamic Equations ◽  
Positive Periodic Solutions ◽  
Piecewise Constant ◽  
Piecewise Constant Argument ◽  
Constant Argument

AbstractIn this paper, by using the Leggett–Williams fixed point theorem, the existence of three positive periodic solutions for differential equations with piecewise constant argument and impulse on time scales is investigated. Some easily verifiable sufficient criteria are established. Finally, an example is given to illustrate the results.

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