共查询到20条相似文献,搜索用时 40 毫秒
1.
2.
3.
4.
M. Fabrizio B. Lazzari J. M. Rivera 《Mathematical Methods in the Applied Sciences》2007,30(5):549-566
In this paper we study a thermoelastic material with an internal structure which binds the materials fibres to a quadratic behaviour. Moreover, a hereditary constitutive law for heat flux is supposed. We prove results of asymptotic stability and exponential decay for the evolution problem in two‐dimensional space domain. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
5.
讨论了广义中立型延迟系统理论的渐近稳定性,给出了广义中立型系统渐近稳定的一些充分条件。 相似文献
6.
7.
《Mathematical Methods in the Applied Sciences》2018,41(7):2615-2624
We consider a chemotaxis consumption system with singular sensitivity , vt=εΔv−uv in a bounded domain with χ,α,ε>0. The global existence of classical solutions is obtained with n=1. Moreover, for any global classical solution (u,v) to the case of n,α≥1, it is shown that v converges to 0 in the L∞‐norm as t→∞ with the decay rate established whenever ε∈(ε0,1) with . 相似文献
8.
Xie Li 《Mathematical Methods in the Applied Sciences》2016,39(2):289-301
This paper is devoted to the attraction–repulsion chemotaxis system with nonlinear diffusion: where χ > 0, ζ > 0, αi>0, βi>0 (i = 1,2) and f(s)≤κ ? μsτ. In two‐space dimension, we prove the global existence and uniform boundedness of the classical solution to this model for any μ > 0. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
9.
Global asymptotic stability and boundedness of certain multi‐delay functional differential equations of third order 下载免费PDF全文
In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi‐delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov‐Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
10.
11.
We derive asymptotic formulae for two‐dimensional and three‐dimensional steady state voltage potentials associated with thin conductivity imperfections having no uniform thickness. These formulae recover highly conducting inclusions and those with interfacial resistance. Our calculations are rigorous and based on layer potential techniques. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
12.
Yuming Qin Xing Su Yang Wang Jianlin Zhang 《Mathematical Methods in the Applied Sciences》2017,40(6):2042-2056
In this paper, we first utilize the vanishing diffusivity method to prove the existence of global quasi‐strong solutions and get some higher order estimates, and then prove the global well‐posedness of the two‐dimensional Boussinesq system with variable viscosity for H3 initial data. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
13.
14.
A new approach toward boundedness in a two‐dimensional parabolic chemotaxis system with singular sensitivity 下载免费PDF全文
Johannes Lankeit 《Mathematical Methods in the Applied Sciences》2016,39(3):394-404
We consider the parabolic chemotaxis model in a smooth, bounded, convex two‐dimensional domain and show global existence and boundedness of solutions for χ∈(0,χ0) for some χ0>1, thereby proving that the value χ = 1 is not critical in this regard. Our main tool is consideration of the energy functional for a > 0, b≥0, where using nonzero values of b appears to be new in this context. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
15.
16.
In the main result of this paper, some sharp conditions are obtained for global attractivity in a scalar perturbed linear delay differential equation. The proof of the main theorem is based on a new estimate for the infinite integral of the absolute value of the fundamental solution of a linear delay differential equation. We also derive sufficient conditions for asymptotic stability of a system of linear delay differential equations. 相似文献
17.
In this paper we consider the equation y
+q(t)y
+ p(t)h(y)=0, where p, q are real valued continuous functions on [0, ) such that q(t) 0, p(t) 0 and h(y) is continuous in (–, ) such that h(y)y > 0 for y 0. We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied. 相似文献
18.
Yicheng Pang Jinhuan Wang Yuanying Zhao 《Mathematical Methods in the Applied Sciences》2017,40(15):5453-5460
This paper considers the two‐dimensional Riemann problem for a system of conservation laws that models the polymer flooding in an oil reservoir. The initial data are two different constant states separated by a smooth curve. By virtue of a nonlinear coordinate transformation, this problem is converted into another simple one. We then analyze rigorously the expressions of elementary waves. Based on these preparations, we obtain respectively four kinds of non‐selfsimilar global solutions and their corresponding criteria. It is shown that the intermediate state between two elementary waves is no longer a constant state and that the expression of the rarefaction wave is obtained by constructing an inverse function. These are distinctive features of the non‐selfsimilar global solutions. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
19.
This paper deals with the impulsive control for a class of differential systems with delay. Using Lyapunov functions and the comparison principle, we present some sufficient conditions for the asymptotic stability and exponential stability of impulsive control systems with delay. Moreover, we give an estimate of the upper bound of impulse interval. The results in this paper extend and improve the earlier publications. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
20.
Jan Čermák 《Czechoslovak Mathematical Journal》2000,50(4):825-837
The paper discusses the asymptotic properties of solutions of the scalar functional differential equation
of the advanced type. We show that, given a specific asymptotic behaviour, there is a (unique) solution y(x) which behaves in this way. 相似文献