Stochastic patch structure Nicholson’s blowflies system with mixed delays

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

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Pseudo-almost-periodic solutions of quaternion-valued RNNs with mixed delays via a direct method

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02356-2 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Yongkun Li ◽

Jianglian Xiang ◽

Bing Li

Keyword(s):

Periodic Solutions ◽

Direct Method ◽

Mixed Delays ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Pseudo Almost Periodic Solutions ◽

Pseudo Almost Periodic ◽

A Direct Method

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Novel robust stability criteria for uncertain parameter quaternionic neural networks with mixed delays: Whole quaternionic method

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126326 ◽

2021 ◽

Vol 407 ◽

pp. 126326

Author(s):

Jie Pan ◽

Zhaoya Pan

Keyword(s):

Neural Networks ◽

Robust Stability ◽

Uncertain Parameter ◽

Mixed Delays ◽

Stability Criteria

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Difference in polypropylene fragmentation mechanism between marine and terrestrial regions

SN Applied Sciences ◽

10.1007/s42452-021-04759-2 ◽

2021 ◽

Vol 3 (9) ◽

Author(s):

Hisayuki Nakatani ◽

Takuya Muraoka ◽

Yuina Ohshima ◽

Suguru Motokucho

Keyword(s):

Environmental Stress ◽

Advanced Oxidation Process ◽

List Type ◽

Patch Structure ◽

Stress Cracking ◽

Fragmentation Mechanisms ◽

Environmental Stress Cracking ◽

Speed Up ◽

Degradation Time ◽

Delamination Behavior

AbstractTwo kinds of marine polypropylene (M1-PP and M2-PP) and one land PP (L-PP) samples were collected from two beaches and land in Japan, respectively, to study the fragmentation mechanisms. Delamination was observed on both M1-PP and M2-PP surfaces. Moreover, there was no delamination but an abrasion patch structure on the surface of L-PP. The delamination was studied using an advanced oxidation process-degraded PP as the marine PP model. The number and shape of cracks varied with an increase in degradation time. The fluctuations in the values and ratios of the carbonyl index as well as the weight change ratio were due to repeated oxidation and delamination. We found that the delamination behavior depends on the oxidation state. Poly(oxyethylene)8 octylphenyl ether (POE8) surfactant treatment caused the delamination to speed up, which is a typical characteristic of polyolefin environmental stress cracking (ESC). These results reveal that delamination is based on ESC.Article Highlights Two kinds of marine and one land polypropylene (PP) samples were collected from two beaches and land, respectively, to study the fragmentation mechanisms. Delamination was observed on both of marine PP surfaces. Moreover, there was no delamination but an abrasion patch structure on the land PP surface. We found that the delamination was based on environmental stress cracking mechanism by employing a marine PP model.

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An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays

Abstract and Applied Analysis ◽

10.1155/2013/870486 ◽

2013 ◽

Vol 2013 ◽

pp. 1-8 ◽

Cited By ~ 14

Author(s):

Chuangxia Huang ◽

Hanfeng Kuang ◽

Xiaohong Chen ◽

Fenghua Wen

Keyword(s):

Neural Networks ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Cellular Neural Networks ◽

Linear Matrix ◽

Mixed Delays ◽

Ultimate Boundedness ◽

Globally Exponential Stability ◽

Average Dwell Time Method ◽

Uniformly Ultimate Boundedness

This paper considers the dynamics of switched cellular neural networks (CNNs) with mixed delays. With the help of the Lyapnnov function combined with the average dwell time method and linear matrix inequalities (LMIs) technique, some novel sufficient conditions on the issue of the uniformly ultimate boundedness, the existence of an attractor, and the globally exponential stability for CNN are given. The provided conditions are expressed in terms of LMI, which can be easily checked by the effective LMI toolbox in Matlab in practice.

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