TM波在密度周期变化等离子体圆波导中的传播特性

提出了一种加载密度周期变化等离子体圆波导的周期慢波结构即加载密度轴向正弦变化等离子体圆。波导的介质周期慢波结构,并研究了TM波在该介质结构中的传播特性,根据严格的理论推导得出TM波在其中传播的色散方程并进行了数值计算和分析．     

一类病毒动力学模型概周期解的存在性

研究一类非自治病毒动力学模型的动力学行为.借助于微分不等式获得了保证系统持久的充分性条件;通过构造适当的Lyapunov函数,得到了保证系统存在一致渐近稳定的概周期解的充分性条件.例子和数值模拟表明了结果的可行性.     

一类非线性摆方程的伪概周期解

利用伪概周期函数的性质和Banach压缩映像原理研究了一类常见非线性摆方程的伪概周期解问题,证明了该伪概周期解的存在性及在‖u‖L∞<1中的唯一性。     

一类具有偏差变元的高阶中立型微分方程周期解的存在性和唯一性

研究了一类具有偏差变元的高阶中立型微分方程周期解问题.利用重合度理论,获得了其周期解的存在性和唯一性的充分条件.     

非线性奇异微分方程周期解的存在性和多重性

利用变分法研究非线性奇异微分方程(g(t)|u′(t)|p-2u′(t))′-|u(t)|p-2u(t)=λF(t,u(t)),a.e.t∈[0,T]u(0)-u(T)=gq-1(0)u′(0)-gq-1(T)u′(T)=0(P)周期解的存在性和多重性问题,其中T>0,λ>0,g∈L∞(0,T;R+),ess.infg>0,p2,1p+1q=1,F:[0,T]×RN→R满足下面的假设:(A)对任意的u∈RN,F(t,u)关于t可测;对几乎所有的t∈[0,T],F(t,u)关于u连续可微.并且存在a∈C(R+,R+),b∈L1(0,T;R+),使得对一切的u∈RN,几乎所有的t∈[0,T],有|F(t,u)|a(|u|)b(t),|F(t,u)|a(|u|)b(t).     

无穷区间上S分布时滞静态递归神经网络模型的全局周期吸引子

研究了无穷区间上S分布时滞静态递归神经网络模型的全局吸引子,并给出了有实用性的判据和实例.     

含时滞反应扩散方程周期解的存在唯一性

应用上下解和迭代方法研究了一类含多个离散时滞的单种群模型,得到了该方程周期解的存在唯一的一个充分条件。     

Periodic table of human civilization process

Abstract

In case of that human civilization was viewed as an integrated organism, the Periodic Table of the Civilizations (PTOC in short) has been formulated and recommended based on the development level and periodicity of core elements of human civilization. It divides the frontier process of the human civilization from the birth of humankind to the end of twenty-first century into 4 periods and 16 stages, and in which four periods include that of primitive culture, agricultural civilization, industrial civilization and knowledge civilization orderly, and each period includes four stages, that is, start, developing, maturing and transition stages sequentially. There are three approaches for the arrangements of the PTOC, that is, simple, vertical and horizontal tables. The big period of earth civilization refers to that from the primitive culture to the knowledge civilization, and then big period of space civilization will begin with the astronautic civilization. The first modernization witnesses the great changes and transformation from the traditional agricultural to the modern industrial civilization, and then second modernization from the modern industrial to the higher modern knowledge civilization. The periodic table, coordinate system and roadmap of human civilization and world modernization have been formulated to describe the relationship between them.     

周期可微函数的连续模极值性质

给出了实现上确界ｓｕｐｆ∈Ｗｒ，α∞ｗ（ｆ，ｔ），ｔ≥０的具体函数     

带时滞和年龄结构的非自治的二食饵一捕食系统的周期解

利用比较定理和V泛函方法,证明带时滞和年龄结构的非自治的二食铒一捕食系统的正周期解的存在性和唯一性·