Results 251 to 260 of about 636,245 (282)

On a reaction diffusion equation with nonlinear time‐nonlocal source term

Mathematical Methods in the Applied Sciences, 2015
In this article, we prove the local existence of a unique solution to a nonlocal in time and space evolution equation with a time nonlocal nonlinearity of exponential growth. Moreover, under some suitable conditions on the initial data, it is shown that local solutions experience blow‐up.
Ahmad, Bashir, Alsaedi, Ahmed, Kirane, Mokhtar   +2 more
openaire   +1 more source

Impulsive Control and Synchronization for Delayed Neural Networks With Reaction–Diffusion Terms

IEEE Transactions on Neural Networks, 2010
This paper discuss the global exponential stability and synchronization of the delayed reaction-diffusion neural networks with Dirichlet boundary conditions under the impulsive control in terms of p-norm and point out the fact that there is no constant equilibrium point other than the origin for the reaction-diffusion neural networks with Dirichlet ...
Cheng Hu, Haijun Jiang
exaly   +3 more sources

A Reaction-diffusion system with nonlinear absorption terms and boundary flux

Acta Mathematicae Applicatae Sinica, English Series, 2008
This paper concerns a reaction-diffusion system with nonlinear absorption and boundary flux. Global existence results and finite time blow-up results are proved for different hypotheses on the exponents appearing in the nonlinear terms. The influence of the coefficients of the absorption terms and of the geometry of the domain to the global existence ...
Wang, Ming-xin, Wang, Xiao-liu
openaire   +1 more source

Synchronization of stochastic chaotic neural networks with reaction-diffusion terms

Nonlinear Dynamics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Qian, Xu, Shengyuan, Zou, Yun, Shi, Guodong   +3 more
openaire   +1 more source

Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Journal of Mathematical Analysis and Applications, 2021
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Free boundary problem of a reaction–diffusion equation with nonlinear convection term

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ren-Hu, Wang, Lei, Wang, Zhi-Cheng
openaire   +1 more source

Turing instability and pattern formation of neural networks with reaction–diffusion terms

Nonlinear Dynamics, 2013
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Zhao, Hongyong, Huang, Xuanxuan, Zhang, Xuebing   +2 more
openaire   +1 more source

Synchronization of Stochastic Competitive Neural Networks with Different Timescales and Reaction-Diffusion Terms

Neural Computation, 2014
We propose a feedback controller for the synchronization of stochastic competitive neural networks with different timescales and reaction-diffusion terms. By constructing a proper Lyapunov-Krasovskii functional, as well as employing stochastic analysis theory, the LaShall-type invariance principle for stochastic differential delay equations, and a ...
Shi, Yanchao, Zhu, Peiyong
openaire   +2 more sources

Stability analysis of impulsive stochastic neural networks with reaction-diffusion terms

International Conference on Information Science and Technology, 2011
In this paper, we consider a class of impulsive stochastic neural networks with reaction-diffusion terms. By Lyapunov function and stochastic analysis, we find some sufficient conditions ensuring the globally exponential stability in mean biquadrate. Two illustrative examples have been provided to show the effectiveness of our results.
Yutian Zhang, Qi Luo
openaire   +1 more source

Wave equations and reaction-diffusion equations with several nonlinear source terms

Applied Mathematics and Mechanics, 2007
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Liu, Ya-Cheng, Xu, Run-Zhang, Yu, Tao
openaire   +1 more source