排序方式: 共有33条查询结果,搜索用时 15 毫秒
1.
This paper investigates the dynamics of a TCP system described by a first- order nonlinear delay differential equation. By analyzing the associated characteristic transcendental equation, it is shown that a Hopf bifurcation sequence occurs at the pos- itive equilibrium as the delay passes through a sequence of critical values. The explicit algorithms for determining the Hopf bifurcation direction and the stability of the bifur- cating periodic solutions are derived with the normal form theory and the center manifold theory. The global existence of periodic solutions is also established with the method of Wu (Wu, J. H. Symmetric functional differential equations and neural networks with memory. Transactions of the American Mathematical Society 350(12), 4799-4838 (1998)). 相似文献
2.
一阶时滞微分方程解的零点分布 总被引:3,自引:0,他引:3
Abstract. The paper gives two estimates of the distance between adjacent zeros of solutions 相似文献
3.
本文研究了FDE整体解的存在性及其零解的全局吸引性,所得结果应用于具有时滞的单种群人口模型则改进了文[1,2]中的相应结论. 相似文献
4.
一阶线性时滞微分不等式 总被引:4,自引:0,他引:4
研究了一阶线性时滞微分不等式x‘(t)+p(t)x(τ(t))≤0正解的不存在性,其中p(t)τ(t)∈C(〔t0,∞),〔0,∞)),τ(t)≤t所获充分条件改进了许多熟知的结论。 相似文献
5.
6.
Logistic增长的线性反馈控制 总被引:1,自引:0,他引:1
研究非自治时滞Logistic线性反馈控制系统{n'(t)=r(t)n(t)[1-a1n(t)+a2n(t-τ)/K-cu(t-σ)]u'(t)=p(t)[-au(t)+bn(t-δ)]平衡点的3/2-全局吸引性,所获定理大大改进已有结果. 相似文献
7.
本文通过使用化多时滞为单时滞的技巧,研究了一类广泛的非线性泛函微分方程解的振动性,所得结果包含和改进了Hunt,Yorke等多人的结果. 相似文献
8.
非线性时滞差分方程的线性化振动性 总被引:1,自引:0,他引:1
本文分临界和非临界两种情形,建立了非线性时滞差分方程与其线性化方程振动性等价定理,推广和改进已有的工作.作为推论,修正了文[2]中主要定理的错误. 相似文献
9.
This article is concerned with the nonlinear Dirac equations-iatψ = ich3Σk=1αkakψ- mc2βψ + Rψ(x, ψ) in R3.Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin and Weth. 相似文献
10.