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本文利用Zalcman引理研究了一类高阶代数微分方程组解的级的问题,将S.Bank和R.Kaufman,G.Garsegian,以及A.A.Gol’dberg等人的有关代数微分方程的一个结果推广至一类微分方程组中. 相似文献
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本文的目的是考查高阶线性微分方程解的定性状态,建立方程分类的某些条件.我们还给出了方程解的振动判据. 相似文献
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刘钢 《数学物理学报(A辑)》1997,17(1):10-17
该文讨论了一类求解常微分方程初值问题的具有高阶导数项的块隐式混合单步并行计算方法.这种算法的块数为k,价数为(l十1)(d+1),可以在s台处理机上进行并行计算,其中l是高阶导数的阶数,k=s·d.该文讨论了方法的一般性质及数值稳定性,最后给数值例子。 相似文献
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利用min-max原理的非变分形式给出了一系列有关高阶常微分方程共振周期解的存在唯一性结论. 相似文献
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利用上下解方法和极大值原理给出了一类高阶微分方程的奇异边值问题正解存在的充分必要条件. 相似文献
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本文主要研究了一类高阶周期系数线性微分方程解的超级,e-型级,相关性等问题,并得到了e-型级与超级之间的一些关系,以及这两种级与系数的精确关系.本文是首次使用e-型级来估计方程解的增长性,这种估计比级,超级更为精确. 相似文献
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Julio G. Dix Ioannis K. Purnaras 《Journal of Mathematical Analysis and Applications》2006,318(1):296-304
In this article we study asymptotic properties of solutions to first order linear neutral differential equations with variable coefficients and constant delays. Results are stated in terms of the solution to a characteristic equation. By doing this, we extend some of the results obtained for delay equations in [J.G. Dix, Ch.G. Philos, I.K. Purnaras, An asymptotic property of solutions to linear non-autonomous delay differential equations, Electron. J. Differential Equations 2005 (2005) 1-9] to neutral equations. 相似文献
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Stability analysis of time delayed fractional order predator-prey system with Crowley-Martin functional response
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In this paper, we present a fractional order predator-prey system with Crowley-Martin functional response. Firstly, we analyze the asymptotic stability of the system. At the same time, some sufficient conditions for the stability of the system are given. Then, we investigate the stability of the corresponding system with time delay and also discuss some sufficient conditions for the equilibrium stability of the system with time delay. In the end, the numerical simulations illustrate the accuracy of our conclusions. 相似文献
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具无穷时滞高阶中立型微分方程的周期解 总被引:1,自引:0,他引:1
陈仕洲 《纯粹数学与应用数学》2010,26(3):376-379
利用重合度理论研究了一类具有无穷时滞高阶中立型泛函微分方程周期解的存在性,获得了该方程存在周期解的充分条件,推广和改进了二阶方程的相应结果. 相似文献
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超线性时滞微分方程解的振动性 总被引:4,自引:0,他引:4
研究一阶超线性时滞微分方程x′(t) p(t)[x(t—γ)]^α=0(α>1)解的振动性及非振动性,获得了保证其所有解振动的“almost sharp”准则,并应用所得结果于混合型时滞微分方程x′(t) ∑^ni=1pi(t)[x(t-γi]^αi=0,得到一族振动准则。 相似文献
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Existence results of second order impulsive functional differential equations with infinite delay and fractional damping
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Shengli Xie 《Journal of Applied Analysis & Computation》2017,7(1):291-308
In this paper we prove the existence, uniqueness, regularity and continuous dependence of mild solutions for second order impulsive functional differential equations with infinite delay and fractional damping in Banach spaces. We generalize the existence theorem of integer order differential equations to the fractional order case. The results obtained here improve and generalize some known results. 相似文献
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Lianzhong Li Fanwei Meng Zhaowen Zheng 《Journal of Applied Mathematics and Computing》2011,35(1-2):431-442
For some higher even order nonlinear partial functional differential equations of neutral type with continuous distributed delay, we obtain new oscillation criteria of solutions for boundary value problem of the equations, in our paper we omit the assumption which has been required for related results given before. The main tool used is the standard Philos integral averaging technique. 相似文献
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Oscillatory and asymptotic criteria of third order nonlinear delay dynamic equations with damping term on time scales
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Qinghua Feng 《Journal of Applied Analysis & Computation》2018,8(4):1260-1281
In this paper, we are concerned with oscillatory and asymptotic behavior of third order nonlinear delay dynamic equations with damping term on time scales. By using a generalized Riccati function and inequality technique, we establish some new oscillatory and asymptotic criteria. The established results on one hand extend some known results in the literature, on the other hand unify continuous and discrete analysis as two special cases of an arbitrary time scale. We also present some applications for the established results. 相似文献
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Delay induced subcritical Hopf bifurcation in a diffusive predator-prey model with herd behavior and hyperbolic mortality
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Xiaosong Tang Heping Jiang Zhiyun Deng Tao Yu 《Journal of Applied Analysis & Computation》2017,7(4):1385-1401
In this paper, we consider the dynamics of a delayed diffusive predator-prey model with herd behavior and hyperbolic mortality under Neumann boundary conditions. Firstly, by analyzing the characteristic equations in detail and taking the delay as a bifurcation parameter, the stability
of the positive equilibria and the existence of Hopf bifurcations induced by delay are investigated. Then, applying the normal form theory and the center manifold argument for partial functional differential equations, the formula determining the properties of the Hopf bifurcation are obtained. Finally, some numerical simulations are also carried out and we obtain the unstable spatial periodic solutions, which are induced by the subcritical Hopf bifurcation. 相似文献
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