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1.
一类脉冲中立型抛物系统振动性   总被引:1,自引:0,他引:1  
考虑一类具高阶Laplace算子的脉冲中立型抛物偏微分系统的振动性,借助于一阶脉冲时滞微分不等式,得到了该类系统在Dirichlet边值条件下所有解振动的若干充分条件.所得结果充分反映了脉冲和时滞在系统振动中的影响作用.  相似文献
2.
具连续分布变元的向量抛物型方程振动性的新准则(英文)   总被引:1,自引:0,他引:1  
The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.  相似文献
3.
In this paper, we investigate a class of fuzzy cellular neural networks with constant delays and time-varying delays. By constructing suitable Lyapunov functional and employing Young inequality, we find sufficient conditions for the existence, uniqueness, global exponential stability of equilibrium, and the existence of periodic solutions of fuzzy cellular neural networks with time-varying delays. The results of this paper are new and they extend previously known results.  相似文献
4.
Let X 1,X 2 be independent geometric random variables with parameters p 1,p 2, respectively, and Y 1,Y 2 be i.i.d. geometric random variables with common parameter p. It is shown that X 2:2, the maximum order statistic from X 1,X 2, is larger than Y 2:2, the second order statistic from Y 1,Y 2, in terms of the hazard rate order [usual stochastic order] if and only if $p\geq \tilde{p}$ , where $\tilde{p}=(p_{1}p_{2})^{\frac{1}{2}}$ is the geometric mean of (p 1,p 2). This result answers an open problem proposed recently by Mao and Hu (Probab. Eng. Inf. Sci. 24:245–262, 2010) for the case when n=2.  相似文献
5.
In this paper, we consider an optimal control problem of switched systems with continuous-time inequality constraints. Because of the complexity of such constraints and switching laws, it is difficult to solve this problem by standard optimization techniques. To overcome the difficulty, we adopt a bi-level algorithm to divide the problem into two nonlinear constrained optimization problems: one continuous and the other discrete. To solve the problem, we transform the inequality constraints into equality constraints which is smoothed using a twice continuously differentiable function and treated as a penalty function. On this basis, the smoothed problem can be solved by any second-order gradient algorithm, e.g., Newton’s Method. Finally, numerical examples show that our method is effective compared to existing algorithms.  相似文献
6.
宫兆刚  阳志锋 《应用数学》2013,26(1):125-128
考虑一类右端函数为多项式情形的常微分方程组初值问题的奇异性.先指出Getz-Jacobson所提出的代数方法的某些不足,然后提出一个新的方法,使得更加方便地讨论此类问题解的爆破性质.最后应用这种方法成功地解决了来自化学反应的一个实例.  相似文献
7.
讨论非线性模糊差分方程xn+1=a+bxn/A+xn-1(n=0,1,…)正解的存在性、有界性及正解的渐近表现。其中是正模糊数数列、及初始值是正模糊数。  相似文献
8.
主要研究特殊多项式的牛顿映照的动力学性质.通过研究根的分布和重数,揭示了当多项式的根关于某点具有一定的旋转对称性,且对称根的重数都相同时,此类多项式的牛顿映照要么是双曲的,要么是次双曲的.另外多项式的牛顿映照的动力学性质为多项式的某些问题提供了新的思路.  相似文献
9.
利用H(t,s)k(s)函数、广义Riccati变换和完全平方技巧获得了一类时标上的二阶非线性变时滞动力系统的新的振动准则.  相似文献
10.
研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏泛函微分方程,利用二阶脉冲时滞微分不等式,得到了该类方程在两类不同边值条件下所有有界解振动的若干充分判据.  相似文献
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