共查询到20条相似文献,搜索用时 250 毫秒
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考虑一类带有强交错扩散项的捕食模型解的整体存在性.借助于有限差分方法和熵不等式的相关性质及结论,证明了在高维空间上,该问题有整体存在的弱解.此外,还说明了所得的这个弱解是非负解. 相似文献
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本文侧重研究一类加权Kirchhoff方程弱解及稳定解的非线性Liouville型定理.利用适当构造试验函数技巧,当非线性函数满足适当条件时,我们在加权函数空间中证明了该方程弱解的非存在性.同时,当非线性函数为指数型且加权函数满足适当条件时,建立了方程稳定解的非存在性结论. 相似文献
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该文在恰当的容许函数空间中讨论了具有瞬时和非瞬时脉冲的回火分数阶微分方程耦合系统的Dirichlet边值问题.利用变分法得到弱解存在性和唯一性的充分条件,进一步证明了每个弱解都是古典解.最后给出一个实例证明了理论结果的可行性. 相似文献
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本文考虑一类非牛顿系统在三维无界区域中解的情况 ,证明了当f∈L2 ( 0 ,T ;H)时弱解的存在性 ;当f∈L∞( 0 ,∞ ;H)时弱解的全局存在性 . 相似文献
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带雪崩项的半导体方程的瞬态解 总被引:1,自引:0,他引:1
研究带雪崩项的半导体方程的混合初边值问题.采用逼近过程和先验估计,在一定条件下,证明了该问题整体弱解的存在性或局部弱解的存在性. 相似文献
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1IntroductionIfl1939,N.N.Bautill[1,2]studiedasystemofcouplednolllilleardifferelltialequations'whichhasseverall'eaturcsofinterestforthestudyofchemicaloscillations.M*-L.Sinoes[3]showedthatfurthertheBautinsystemisaveryadequatemodelforchemicaloscillations,the… 相似文献
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拟线性对称双曲型方程组的某些整体解及其渐近性质 总被引:1,自引:0,他引:1
<正> 1.引言 近年来,人们采用了不定常气流方程来计算定常的跨音速气流,取得了一定的成效.在这种计算中,混合型方程组的解被看成为多一个自变量的双曲型方程组解的极限.这启发我们去研究系数和t无关的双曲型方程组的解当t趋向无限时的渐近行为.在本文中,我们利用[2]中的结果,先考虑拟线性对称双曲型方程组,以方程组的充分正为代价,对初始条件作了某些限制以后,证明了这种方程组的混合问题的整体解的存在性.然 相似文献
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We develop the use of piecewise linear test functions for the analysis of stability of multiclass queueing networks and their
associated fluid limit models. It is found that if an associated LP admits a positive solution, then a Lyapunov function exists.
This implies that the fluid limit model is stable and hence that the network model is positive Harris recurrent with a finite
polynomial moment. Also, it is found that if a particular LP admits a solution, then the network model is transient.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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李林 《数学的实践与认识》2009,39(1)
研究一个描述血吸虫病的周期微分方程模型dx/dt=-rx+A/S(t)y,dy/dt=-δ(t)y+B(S(t)-y) x2/1+ x.数值计算发现该系统同时具有渐近稳定的零解和一个正周期解.通过证明该系统解的有界性,并在一个函数空间上构造单调有界序列,进而证明了在一定条件下正周期解的存在性. 相似文献
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This paper is concerned with a cross‐diffusion system arising in a Leslie predator–prey population model in a bounded domain with no flux boundary condition. We investigate sufficient condition for the existence and the non‐existence of non‐constant positive solution. We obtain that if natural diffusion coefficient of predator is large enough and cross‐diffusion coefficients are fixed, then under some conditions there exists non‐constant positive solution. Furthermore, we show that if natural diffusion coefficients of predator and prey are both large enough, and cross‐diffusion coefficients are small enough, then there exists no non‐constant positive solution. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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ISTVAN GYORI 《数学年刊B辑(英文版)》1992,13(4):485-506
It is shown that for a wide class of the scalar and vector functional equations of the delay and the neutral type a positive solution exists if and only if the linearized approximating equations are non-oscillatory or, equivalently, the characteristic equations of these linear equations have a real root. 相似文献
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This paper deals with reaction-diffusion system with nonlocal source. It is proved that there exists a unique classical solution and the solution either exists globally or blows up in finite time. Furthermore, its blow-up set and asymptotic behavior are obtained provided that the solution blows up in finite time. 相似文献
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A cholera epidemic model with periodic transmission rate is presented. The basic reproduction number is defined. It is shown that the disease-free equilibrium is globally asymptotically stable and the cholera eventually disappears if the basic reproduction number is less than one. And if the basic reproduction number is greater than one, there exists a positive periodic solution which is globally asymptotically stable. Numerical simulations are provided to illustrate analytical results. 相似文献