具放牧率的非线性生态模型的正概周期解(英文)

In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.     

一类脉冲时滞宿主一大寄生物系统周期解及全局吸引性(英文)

By using Mawhin continuation theorem,an important lemma and some analysis techniques,sufficient conditions ensuring the existence and global attractivity of positive periodic solutions for an impulsive differential equation with time varying delay are investigated.     

三维具弱阻尼Schrdinger-Boussinesq方程组的周期解(英文)

§ 1.　Introduction　　InthelaserandplasmaphysicsundertheinteractionofanonlinearcomplexSchr dingerfieldandarealBoussinesqfield ,thedynamicsisdescribedbythefollowingequationsiεt +Δε=nε ,( 1 .1 )ntt -Δn+γΔ2 n-Δf(n) -Δ｜ε｜2 =0 ,( 1 .2 )whereεrepresentsthecomplexSchr dingerfieldandnrepresentstherealBoussinesqfield .Theseequationshavemanyinterestingproperties,suchasafour parameterfamilyofsolitonso lutionsandLangmuircollapse(see [1— 4]) .Thustheydrawmuchattentionofmanyphysicistandmath…     

Marchuk模型周期解和概周期解的存在性与稳定性(英文)

本文讨论具有时滞和扩散的Marchuk模型.根据模型参数求出了模型方程的上、下解,利用单调方法和Liapunov函数分别证明了周期解和概周期解的存在性及其稳定性.     

变系数迭代方程的集值解(英文)

In this paper, we consider a second order multivalued iterative equation with variable coefficients and the results on increasing solution and decreasing solution are obtained.     

带有Holling IV功能反应的离散半比率依赖捕食-食饵系统的持久性和全局吸引性

In this paper, we investigate a discrete semi-ratio dependent predator-prey system with Holling IV type functional response. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained. Meanwhile, we discuss the existence of the positive periodic solution and global stability of the system.     

二阶周期线性微分方程解的几个性质

In this paper,the zeros of solutions of periodic second order linear differential equation y ＋ Ay = 0,where A（z） = B（e z ）,B（ζ） = g（ζ） ＋ p j=1 b ？j ζ ？j ,g（ζ） is a transcendental entire function of lower order no more than 1/2,and p is an odd positive integer,are studied.It is shown that every non-trivial solution of above equation satisfies the exponent of convergence of zeros equals to infinity.     

一类泛函数微分方程的周期解的存在性(英文)

In this paper,a kind of high order functional differential equation is considered.By using the theory of concidence degree,a sufficient condition of existence of at least one 2π-period solution is obtained.     

离散哈密顿系统多个周期解的存在性

本文利用临界点理论,建立了一类离散哈密顿系统存在多个周期解的一些充分条件.     

Hopfield神经网络概周期解的存在性和全局吸引性

该文研究Ｈｏｐｆｉｅｌｄ神经网络概周期解的存在性和全局吸性,获得了该网络存在唯一概周期解的充分条件和所有解收敛于此概周期解的充分条件。     

一类Lotka-Volterra互惠扩散系统的概周期解和全局稳定性

In this paper a nonautonomous two-species n-patches system is studied.Within each patch,there are two cooperative species and their dynamics are described by the LotkaVolterra model.Each species can diffuse independently and discretely between its interpatch and intrapatch.By constructing a suitable Liapunov function,some sufficient conditions are obtained for the existence of a unique globally asymptotically stable positive almost periodic solution.     

脉冲中立泛函微分方程概周期解的存在性(英文)

本文讨论一类脉冲中立型泛函微分方程的概周期解问题.利用Banach压缩映射原理和算子半群理论得到其概周期解的存在唯一性定理.     

基于拟一致渐近稳定性的离散模型的概周期解（英文）

本文研究离散模型的概周期解的存在唯一性.因为在通常情况下,拟一致渐近稳定所需条件相对比较弱,所以我们利用拟一致渐近稳定性来得到离散模型正概周期解存在的充分条件.数值例子验证了我们结果的有效性.     

具有脉冲和时滞的Logistic模型的持续生存和正周期解的全局吸引性(英文)

本文研究了具有脉冲和时滞效应的Logistic模型.利用脉冲微分方程的比较定理,BohlBrower不动点定理和Lyapunov函数法,获得了系统持续生存,正周期解存在、唯一以及全局吸引的充分条件.结果表明正周期解的全局吸引性与时滞有关.     

Hirota-Satsuma方程的N-孤子解(英文)

In this work,using the Hirota bilinear method,N-soliton solution is obtained for Hirota-Satsuma nonlinear evolution equation:u_t - u_xxt - 3u_xu_t + u_x = 0.     

Logistic型方程周期解和概周期解的存在性

In this paper, we study the Logistic type equation x= a（t）x -b（t）x^2＋ e（t）. Under the assumptions that e（t） is small enough and a（t）, b（t） are contained in some positive intervals, we prove that this equation has a positive bounded solution which is stable. Moreover, this solution is a periodic solution if a（t）, b（t） and e（t） are periodic functions, and this solution is an almost periodic solution if a（t）, b（t） and e（t） are almost periodic functions.     

具有脉冲的BAM型神经网络概周期解的存在性与稳定性

This paper discusses a class of the bidirectional associative memories（BAM） type neural networks with impulse.By using the Banach fixed point theory and some analysis technology,we obtain the existence of almost periodic solution and stability under some sufficient conditions.     

具有脉冲的造血模型的振动性与吸引性

考虑具有脉冲扰动的造血模型,得到了方程非振动解的渐近性及所有解关于平衡点K振动的充分条件,推广了文献中的相关结论.     

两个m-KdV多维类似方程的N-孤子解(英文)

Using the Hirota’s bilinear method,some new N-soliton solution are presented for two multidimensional analogues of the m-KdV equation wt＋wxxx-6w 2 wx＋3 2（ w x -1 wy＋w-x -1 wz）x=0 and wt＋wxxx？6w 2 wx＋3 2（ wwy＋wx-x-1 wy）=0 in view of a different treatment.     

一致渐近稳定和周期解、概周期解的存在性

本文建立了系统解一致稳定、解一致渐近稳定和某种Liapunov函数存在的充要条件,并且得到:满足Lipschitz条件而且解一致渐近稳定的概周期系统有唯一的概周期解,周期系统有唯一的周期解。