时滞

The existence of multiple periodic solutions of the equations is gotten by using convex Hamiltonian theory and Morse index theory.

讨论了一类扰动时滞微分方程的多重周期解的存在性问题，运用凸Hamilton系统理论和Morse指标理论得到了这类方程多重周期解的存在性。

By using saddle point reduction and Morse theory,we obtain an existence theorem of three periodic solutions for this equation.By means of E~+-Morse theory established by A.

本章还首次应用临界点理论研究中立型泛函微分方程的次调和解，在变分泛函中允许含有时滞变量，从而给出了研究这类方程周期解的新途径。

Delay differential equations; variational structure; Minimax theory; Morse theory; multiple periodic solutions; subharmonic solutions; Z_p geometrical index

基础科学，数学，数学分析时滞微分方程；变分结构；极小极大理论； Morse理论；多重周期解；次调和解；广义Z_p几何指标

In Part 3 we study the mutualism system with several delays Sufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

In Part 3 we study the mutualism system with several delaysSufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

The researchers in the past only considered the existence conditions of the spatially homogeneous periodic solutions of the kind of models, and regarding the delay or the diffusion rate as a bifurcation parameter, the existence conditions of Hopf bifurcation, and the direction of Hopf bifurcation with Neumann boundary condition.

以前的研究者只讨论了此类系统的空间齐次周期解的存在性条件，或是以时滞，或扩散系数为分支参数的Hopf分支存在的条件，以及Neumann边界条件下此类系统的Hopf分支方向。

In the paper, we mainly study the existence and stability of equilibrium of neutral cellular neural network modeland periodic solution of neutral cellular neural network modelwhich both models are described by nonlinear neutral delayed differential equations.

本文主要研究了由非线性中立型时滞微分方程描述的中立型细胞神经网络模型的平衡点和模型的周期解的存在性及稳定性。

An equivalent transformation is made for the original system by the Leibniz Newton formula. By applying Lyapunov stability theory and associating with Moon's inequality, the delay dependent robust stability condition for the Markov jumping neural networks is established.

利用Leibniz-Newton公式对原系统进行等价变换，基于Lyapunov稳定性理论，并结合Moon不等式得到了此类Markov跳变神经网络时滞相关均方鲁棒稳定性的判别条件。

Nondefense capital goods bookings have turned down in the past 6 months, and while unfilled orders are still rising, they tend to lag turning points.

过去6个月之中，非防务资本品订单已经出现了下降；另一方面，虽然未交货订单仍在增加，但该指标的转折点往往存在一定时滞。4月份，以年率计算的汽车销售量降至1430万辆，创10年来的最低点。

The original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems.

研究状态变量含有时滞的线性离散系统在正弦扰动下的前馈－反馈最优减振控制问题。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新