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Start Over Creator Cheng, Sui Sun

1. Even periodic solutions of higher order duffing differential equations

Creator:
Wang, Genquiang and Cheng, Sui Sun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
high order Duffing equation, even periodic solution, and continuation theorem
Language:
English
Description:
By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Optimal sublinear inequalities involving geometric and power means

Creator:
Wen, Jiajin, Cheng, Sui Sun, and Gao, Chaobang
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
geometric mean, power mean, Hermitian matrix, permanent of a complex, simplex, and arithmetic-geometric inequality
Language:
English
Description:
There are many relations involving the geometric means Gn(x) and power means [An(x γ )]1/γ for positive n-vectors x. Some of them assume the form of inequalities involving parameters. There then is the question of sharpness, which is quite difficult in general. In this paper we are concerned with inequalities of the form (1 − λ)G γ n(x) + λAγ n(x) ≥ An(x γ ) and (1 − λ)G γ n(x) + λAγ n(x) ≤ An(x γ ) with parameters λ ∈ R and γ ∈ (0, 1). We obtain a necessary and sufficient condition for the former inequality, and a sharp condition for the latter. Several applications of our results are also demonstrated.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Positive fixed point theorems arising from seeking steady states of neural networks

Creator:
Wang, Gen-Qiang and Cheng, Sui Sun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
positive fixed point, neural network, periodic solution, difference equation, discrete boundary condition, and critical point theory
Language:
English
Description:
Biological systems are able to switch their neural systems into inhibitory states and it is therefore important to build mathematical models that can explain such phenomena. If we interpret such inhibitory modes as `positive' or `negative' steady states of neural networks, then we will need to find the corresponding fixed points. This paper shows positive fixed point theorems for a particular class of cellular neural networks whose neuron units are placed at the vertices of a regular polygon. The derivation is based on elementary analysis. However, it is hoped that our easy fixed point theorems have potential applications in exploring stationary states of similar biological network models.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public