Exponential Stability of Weighted Pseudo Almost Periodic Solutions for HCNNs with Mixed Delays

2017 ◽  
Vol 46 (2) ◽  
pp. 507-519 ◽  
Author(s):  
Yanli Xu
Keyword(s):  
Exponential Stability ◽  
Periodic Solutions ◽  
Mixed Delays ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic

New results for a Lasota–Wazewska model

2019 ◽  
Vol 12 (02) ◽  
pp. 1950019 ◽  
Author(s):  
Farouk Chérif ◽  
Mohsen Miraoui
Keyword(s):  
Periodic Solutions ◽  
Linear Part ◽  
Periodic Oscillation ◽  
Mixed Delays ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Nonlinear Part ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic Functions ◽  
Pseudo Almost Periodic

In nature there is no phenomenon that is purely periodic, and this gives the idea to consider the measure pseudo almost periodic oscillation. In this paper, by employing a suitable fixed point theorem, the properties of the measure pseudo almost periodic functions and differential inequality, we investigate the existence and uniqueness of the measure pseudo almost periodic solutions for some models of Lasota–Wazewska equation with measure pseudo almost periodic coefficients and mixed delays. We suppose that the linear part has almost periodic and the nonlinear part is assumed to be measure pseudo almost periodic. Moreover, the global attractivity and the exponential stability of the measure pseudo almost periodic solutions are also considered for the system. As application, an illustrative numerical example is given to demonstrate the effectiveness of the obtained results.

scholarly journals Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Junxia Meng
Keyword(s):  
Exponential Stability ◽  
Periodic Solutions ◽  
Global Exponential Stability ◽  
Sufficient Conditions ◽  
Multiple Time ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic

This paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some known relevant results.

scholarly journals Positive stability analysis of pseudo almost periodic solutions for HDCNNs accompanying $ D $ operator

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Lilun Zhang ◽  
Le Li ◽  
Chuangxia Huang
Keyword(s):  
Periodic Solutions ◽  
Differential Inequality ◽  
Function Method ◽  
Mixed Delays ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Globally Exponential Stability ◽  
Pseudo Almost Periodic Solutions ◽  
Lyapunov Function Method ◽  
Pseudo Almost Periodic

<p style='text-indent:20px;'>In this study, the stable dynamics of a kind of high-order cellular neural networks accompanying <inline-formula><tex-math id="M1">\begin{document}$ D $\end{document}</tex-math></inline-formula> operators and mixed delays are analyzed. The global existence of bounded positive solutions is substantiated by applying some novel differential inequality analyses. Meanwhile, by exploiting Lyapunov function method, some sufficient criteria are gained to validate the positiveness and globally exponential stability of pseudo almost periodic solutions on the addressed networks. In addition, computer simulations are produced to test the derived analytical findings.</p>

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