一类需求符合产品寿命周期存贮模型的最优解

讨论具有广泛意义的需求率为高次函数的库存模型,得到该模的解析最优解,同时讨论该模型的各类应用实例。     

一类分布参数系统的解的性质

本文给出了用偏微分方程描述的发汗控制系统的解的存在唯一性及其系统的温度对发汗剂流量的连续依赖性。     

一类非线性滞后广义系统解的基本理论

本文讨论了一类指标大于１的非线性滞后广义系统,得到了其初值问题解的存在唯一性的结果,这些结果也适用于指标为１的滞后广义系统     

一类离散确定型有限周期不许缺货库存模型最优策略的精确解

本文研究一类离散，确定型有限周期不许期货库存模型。讨论了该模型最优策略的性质，并给出了最优库存策略解的显式计算公式。     

一类新离散混沌系统动力学性质的差异演化仿真

用差异演化算法探索基于自然界进化思想的遗传算法所固有的混沌现象,介绍描述遗传算法的随机现象的一种新的带有有理分数的离散混沌系统,提出用一类推广的差异演化算法(DEESC)对其动力学性质进行仿真,如值域、不稳定周期点,进而设计一种新的差异演化控制策略(DECS),并仿真研究表明该方法的可行性和有效性.     

非线性抛物系统H—半变分不等式的周期解

本文研究非线性抛物系统Ｈ－半变分不等式的周期解。我们利用Ｃｌａｒｋｄ广义梯度的伪单调算子理论,证明了这类问题解的存在性。     

一类生物演化模型的统计特性

在给出的生态系列演化模型中 ,首先 ,每次只让适应度最小的物种发生变异 ,直到其适应度比原来高为止 ,对此我们给出了每一次变异所需时间的数学期望 ,并证明了最小适应度序列是几乎必然收敛的 ;然后 ,逐渐增加相互作用的强度 ,通过数值模拟表明 ,相互作用是生态系统多样性的根源.     

一类排序问题的通用模型与最优解

讨论把ｎ个零件安排给ｍ台机床加工的一类排序问题。在建立了该问题的通用数学模型基础之上，巧妙地把这个排序问题的求解问题转化为指派问题的求解问题，为该排序问题找到了一个理想的通用求解方法。     

不完备市场下一类衍生证券的无风险定价与保值

对于不完备市场模型，衍生证券定价及保值一般与投资者风险态度有关。本文研究的不完备市场模型是B-S模型的推广，它同时也说明了这样一个事实：即使是在不完备市场条件下，我们也能找到相当多的衍生证券，它们具有与投资者风险态度无关的惟一定价与保值策略。本文首先引入这种不完备市场模型，并运用梯度算子方法，得到一类相当广泛的衍生证券的定价与保值计算方法，作为两个应用例子，分别给出了组合型欧式期权及股票指数期权的定价与保值闭式解。     

股市系统演化方程重正化群解实证研究

研究股市系统演化方程的重正化群综合因子,并从实际数据中拟合出作为股市要素的股民数量增长情况对综合因子的演化函数.根据所得演化函数分别从时间和增长率两个方面求出了股市系统演化方程的重正化群解.从解的情况来看,其与现实是一致的.     

PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE

In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Hoffing Ⅱ type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained.     

Existence of Positive Periodic Solutions of Competitor-Competitor-Mutualist Lotka-Volterra Systems with Infinite Delays

In this paper,the authors primarily explore a delayed competitor-competitor-mutualist Lotka-Volterra model,which is a system of differential equation with infinite integral.The authors first study the existence of positive periodic solutions of the model by using the Krasnoselskii’s fixed point theorem,and then present an example to illustrate the main results.     

Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.     

Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions of a General Delayed BAM Neural Networks

This paper studies a class of general BAM neural networks with multiple delays. Employing the exponential dichotomy theory and fixed point method, together with constructing suitable Lyapunov functionals, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of pseudo almost periodic solutions, which not only generalize but also complement some existing ones. These theoretical results are also supported with numerical simulations.     

Bifurcations of periodic orbits in three-well Duffing system with a phase shift

Bifurcations of periodic orbits of three-well Duffing system with a phase shift are investigated in detail. The conditions of the existence and bifurcations for harmonics, subharmonics (2-order, 3-order and m-order) and superharmonics under small perturbations are given by using second-order averaging method and Melnikov’s method. The influence of the phase shift on the dynamics is also obtained.     

Fuzzy Logic Based Evolving System and One Kind of Competition Mechanism

ＦｕｚｙＬｏｇｉｃＢａｓｅｄＥｖｏｌｖｉｎｇＳｙｓｔｅｍａｎｄＯｎｅＫｉｎｄｏｆＣｏｍｐｅｔｉｔｉｏｎＭｅｃｈａｎｉｓｍＺｈｏｎｇｘｉｏｎｇ，ＨｕＷａｎｊｕｎ＆ＰｅｎｇＦｅｉＡｕｔｏｍａｔｉｏｎＳｙｓｔｅｍＩｎｓｔｉｔｕｔｅ，ＮｏｒｔｈｅｒｎＪｉａｏ...     

The Forced Growth of Social Production System by Technology and the Realization

ＴｈｅＦｏｒｃｅｄＧｒｏｗｔｈｏｆＳｏｃｉａｌＰｒｏｄｕｃｔｉｏｎＳｙｓｔｅｍｂｙＴｅｃｈｎｏｌｏｇｙａｎｄｔｈｅＲｅａｌｉｚａｔｉｏｎＭＥＮＧＸｉａｏｒａｎ（ＳｈａｎｘｉＳｏｉ．＆Ｔｅｃｈ．ＤｅｖｅｌｏｐｍｅｎｔＳｔｒａｔｅｇｙＲｅｓｅａｒｃｈＩｎ...     

Fractal Solitons,Arbitrary Function Solutions,Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

This paper extends a method, called bilinear neural network method(BNNM), to solve exact solutions to nonlinear partial differential equation. New, test functions are constructed by using this method. These test functions are composed of specific activation functions of single-layer model,specific activation functions of "2-2" model and arbitrary functions of "2-2-3" model. By means of the BNNM, nineteen sets of exact analytical solutions and twenty-four arbitrary function solutions of the dimensionally reduced p-gB KP equation are obtained via symbolic computation with the help of Maple. The fractal solitons waves are obtained by choosing appropriate values and the self-similar characteristics of these waves are observed by reducing the observation range and amplifying the partial picture. By giving a specific activation function in the single layer neural network model, exact periodic waves and breathers are obtained. Via various three-dimensional plots, contour plots and density plots,the evolution characteristic of these waves are exhibited.     

Forced Oscillations of a Class of Nonlinear Dispersive Wave Equations and their Stability

It has been observed in laboratory experiments that when nonlinear dispersive waves are forced periodically from one end of undisturbed stretch of the medium of propagation, the signal eventually becomes temporally periodic at each spatial point. The observation has been confirmed mathematically in the context of the damped Korteweg-de Vries （KdV） equation and the damped Benjamin-Bona-Mahony （BBM） equation. In this paper we intend to show the same results hold for the pure KdV equation （without the damping terms） posed on a finite domain. Consideration is given to the initial-boundary-value problem {ut＋ux＋uux＋uxxx=0, u（x,0）=φ（x）, 0〈x〈1, t〉0,u（0,t）=h（t）, u（1,t） = 0, ux（1,t） = 0, t〉0.It is shown that if the boundary forcing h is periodic with small ampitude, then the small amplitude solution u of （＊） becomes eventually time-periodic. Viewing （＊） （without the initial condition） as an infinite-dimensional dynamical system in the Hilbert space L^2（0, 1）, we also demonstrate that for a given periodic boundary forcing with small amplitude, the system （＊） admits a （locally） unique limit cycle, or forced oscillation, which is locally exponentially stable. A list of open problems are included for the interested readers to conduct further investigations.     

Existence and Stability for Periodic Solution of Cooperation Ecosystem with Diffusion

ＥｘｉｓｔｅｎｃｅａｎｄＳｔａｂｉｌｉｔｙｆｏｒＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｏｆＣｏｏｐｅｒａｔｉｏｎＥｃｏｓｙｓｔｅｍｗｉｔｈＤｉｆｕｓｉｏｎ⒇ＸＩＥＺｈｅｎｄｏｎｇＸＩＥＳｈｅｎｇｌｉＬＩＵＹｏｎｇｑｉｎｇＤｅｐａｒｔｍｅｎｔｏｆＡｕｔｏｍａ...