Multiple periodic solutions for Γ-symmetric Newtonian systems

2017 ◽  
Vol 263 (10) ◽  
pp. 6684-6730 ◽  
Author(s):  
Mieczyslaw Dabkowski ◽  
Wieslaw Krawcewicz ◽  
Yanli Lv ◽  
Hao-Pin Wu
Keyword(s):  
Periodic Solutions ◽  
Multiple Periodic Solutions ◽  
Newtonian Systems

scholarly journals Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Hui-Sheng Ding ◽  
Julio G. Dix
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Type System ◽  
Functional Difference ◽  
Difference System ◽  
Multiple Periodic Solutions

This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for then-dimensional functional difference systemyk+1=Akyk+fk, yk-τ, k∈ℤ, whereAkis not assumed to be diagonal as in some earlier results. In addition, a concrete example is also given to illustrate our results.

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