Existence of periodic solutions and almost periodic solutions

1991 ◽  
pp. 254-276
Author(s):  
Yoshiyuki Hino ◽  
Satoru Murakami ◽  
Toshiki Naito
Keyword(s):  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Existence Of Periodic Solutions

scholarly journals On the Study Of Asymptotically Almost Periodic Solutions of a Class of Impulsive Population Models

2018 ◽  
Vol 36 (3) ◽  
pp. 597-601
Author(s):  
Li Wang
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Population Models ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Laplacian Equation ◽  
Existence Of Periodic Solutions ◽  
Functional Differential ◽  
Solutions Of Equations ◽  
Asymptotically Almost Periodic

Based on the Mawhin continuous theorem, the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the existing literatures. Since the Mawhin continuous theorem is only used to prove the existence of periodic solutions or almost periodic solutions of equations (for example:impulsive differential equation, functional differential equation, integral equation, Lienard equation, P-Laplacian equation), the main result is innovative.

scholarly journals Existence of periodic and almost periodic solutions in a resonant model on stem cell dynamics

2021 ◽  
Author(s):  
Carlos Alliera
Keyword(s):  
Stem Cell ◽  
Periodic Solutions ◽  
Implicit Function Theorem ◽  
Almost Periodic Functions ◽  
Implicit Function ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Cell Dynamics ◽  
Existence Of Periodic Solutions

This work deals with the existence of almost periodic solutions in a biological model, the model proposed by VG Nazarenko and E.E. Sel’kov of stem cell dynamics. This article demonstrates the existence of almost periodic solutions, for this purpose, the constant parameters of the system were changed to almost periodic functions which allows greater adaptability in biological cases such as this. This kind of changes have already been raised in other biological systems. In this case we will use the implicit function theorem to prove the existence of periodic solutions.

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