| 1. | On zeros of analytic functions in half plane
空间中解析函数的零点 |
| 2. | The regular growth of dirichlet series of finite order in the half plane
级数在水平直线上的增长性 |
| 3. | A new method studying the edge crack problem on an elastic half plane
弹性半平面中边界裂纹研究的新方法 |
| 4. | The growth and value distribution of random dirichlet series in the right half plane
随机狄里克莱级数在半平面上的增长性和值分布 |
| 5. | The natural integral equation and poisson formula of an elliptic system on the upper - half plane
上半平面上的第一类椭圆型方程组的自然积分方程 |
| 6. | The symmetric values about the imaginary axis of zero - poles which the unstable process lies in the open and closed right - half plane are defined as their mirror - injection
非稳定过程在开右半平面的零极点关于虚轴的对称值称为该零极点的镜像映射。 |
| 7. | Four contact state depending on rate of rolling / sliding between the couple of contact element were studied based on hertz contact model , and the results was shown that the rate of slide would affect the distribution of pressure in contact area and stress in the half plane
研究表明安定状态随载荷的大小而变化，其残余应力和应变累积的大小与外加载荷成正比，并对计算中的一些问题进行了分析探讨。 |
| 8. | In order to prove the existence of the periodic boucing solutions , firstly we will introduce a new coordinate transformation , transform the system from right half plane to the whole plane . and give the relation of the eigenvalues of hill ' s equation and the rotation numbers , using this approach and pioncar - birkhoff twist theorem , we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator
对于周期解的存在性证明，我们引进新的坐标变换把右半平面上的碰撞问题转化到整个平面上，给出旋转数与hill方程的特征值的关系，并以此来度量渐近线性振子，再应用pioncar - birkhoff扭转定理得到周期碰撞解的存在性。 |
| 9. | In chapter two , the quantization for d + 1 - dimensional massive single scalar field with boundary is considered . especially , the quantization of d + 1 - dimensional massive single scalar field with boundary interaction potential and the proper poisson structure of 24 - 1 - dimensional massive single scalar field with boundary interaction potential vb = 1 / 2 on a half plane are discussed in great detail
在第二章，我们对d + 1维带边界的的质量单标量场的poisson结构进行了修正，并在此基础上详细讨论了d + 1维有质量单标量场在边界相互作用势时的量子化，同时还给出了具有边界相互作用势的2 + 1维有质量单标量在半平面上的自洽的poisson结构的基本形式。 |
| 10. | In this paper , we first study the growth and regular growth of dirichlet series of finite order by type function in the plane and obtain two necessary and sufficient conditions ; and prove that the growth of random entire functions defined by random dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding dirichlet series . then we define the hyper - order of dirichlet series of infinite order respectively in the plane or in the right - half plane , study the relations between the hyper - order and regular hyper - order of dirichlet series of infinite order and the cofficients ; obtain the hyper - order of random entire functions defined by random dirichlet series of infinite order in every horizontal straight line is almost surely equal to the hyper - order of entire functions defined by their corresponding dirichlet series
本文首先利用型函数研究了全平面上有限级dirichlet级数的增长性和正规增长性，得到了两个充要条件；证明了有限级随机dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同。对于无限级dirichlet级数，分别在右半平面及全平面上定义了其超级的概念，研究了它们的超级和正规超级与其系数间的关系；得到了平面上无限级随机dirichlet级数的超级几乎必然与其在每条水平直线上的超级相同。 |
