Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay [PDF]
Journal of Applied Mathematics, 2011 Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies.
Haihui Wu
doaj +6 more sources
Pseudo almost periodicity for stochastic differential equations in infinite dimensions [PDF]
Electronic Journal of Differential Equations, 2023 In this article, we introduce the concept of p-mean θ-pseudo almost periodic stochastic processes, which is slightly weaker than p-mean pseudo almost periodic stochastic processes.
Ye-Jun Chen, Hui-Sheng Ding
doaj +2 more sources
Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain [PDF]
Journal of Applied Mathematics, 2014 By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain.
Zhinan Xia
doaj +2 more sources
Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis [PDF]
Abstract and Applied Analysis, 2013 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
Junxia Meng
doaj +2 more sources
Mathematics, 2021 Cellular neural networks with D operator and time-varying delays are found to be effective in demonstrating complex dynamic behaviors. The stability analysis of the pseudo-almost periodic solution for a novel neural network of this kind is considered in ...
Weide Liu, Jianliang Huang, Qinghe Yao
doaj +1 more source
Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
Advances in Mathematical Physics, 2021 Through the use of the measure theory, evolution family, “Acquistapace–Terreni” condition, and Hölder inequality, the core objective of this work is to seek to analyze whether there is unique μ-pseudo almost periodic solution to a functional evolution ...
Zhong-Hua Wu
doaj +1 more source
Positive almost periodic type solutions to a class of nonlinear difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. By using a fixed point theorem in partially ordered Banach spaces, we establish several theorems about the existence and ...
Huisheng Ding +2 more
doaj +1 more source
Axioms, 2023 This paper considers the dual hybrid effects of discrete-time stochastic genetic regulatory networks and discrete-space stochastic genetic regulatory networks in difference formats of exponential Euler difference and second-order central finite ...
Shumin Sun, Tianwei Zhang, Zhouhong Li
doaj +1 more source
Weighted pseudo-almost periodic solutions and global exponential synchronization for delayed QVCNNs
Journal of Inequalities and Applications, 2019 In this paper, we study the existence of weighted pseudo-almost periodic solutions and the global exponential synchronization of delayed quaternion-valued cellular neural networks (QVCNNs).
Yongkun Li, Gui Lü, Xiaofang Meng
doaj +1 more source
Pseudo-almost-periodic solutions of quaternion-valued RNNs with mixed delays via a direct method
Journal of Inequalities and Applications, 2020 In this paper, we are concerned with the existence and global exponential stability of pseudo-almost-periodic solutions for quaternion-valued recurrent neural networks (RNNs) with time-varying delays.
Yongkun Li, Jianglian Xiang, Bing Li
doaj +1 more source