具有偏差变元的双曲型微分方程组解的振动性

本文获得了双曲型方程组在齐次Neumann,Dirichlet和Robin边值条件下,所有解振动的充分条件.  

The structure of left C-rpp semigroups

This paper studies the class of left Clifford-rpp semigroups and investigates the structure of their semi-spined products and semilattice decompositions. These semigroups are generalizations of left Clifford semigroups and Clifford-rpp semigroups. We also discuss some special cases such as when a semilattice decomposition becomes a strong semilattice decomposition and a semi-spined product becomes a spined product. Communicated by Boris Schein This research is jointly supported by a grant of National Natural Science Foundation of China and a small project grant #200.600.380 of CUHK.  

Periodic solutions of a periodic delay predator-prey system

The existence of a positive periodic solution for

is established, where , , , , are positive periodic continuous functions with period , and , are periodic continuous functions with period .

  

Proper Efficiency in Locally Convex Topological Vector Spaces

We present a general treatment of proper efficiency, which was originally given in normed vector spaces; we introduce a new kind of efficiency in locally convex topological vector spaces. We examine the relationships among these efficiencies. As an application, we prove a strong Ekeland variational principle.  

奇异半线性热方程初值问题解的存在性与Blow-up问题

本文讨论如下奇异半线性热方程的初值问题其中γ＞1，σ＞O，f（x）连续有界非负但不恒为零．我们讨论了问题（1），（2）非负局部经典解的存在性和非负整体解的不存在问题，得到当0＜σ＜1且时，（1），（2）没有非负整体解．当σ＝1且时，（1），（2）没有非负整体解，当σ＞1时（1），（2）没有非负整体解．  

一类四阶非线性微分方程解的有界性及稳定性

运用Liapunov函数方法,研究了一类四阶非线性微分方程解的有界性及稳定性,得到了解的有界性及零解的全局渐近稳定性的充分条件。  

多值Φ-强伪压缩映象不动点和多值Φ-强增生映象方程解的Ishikawa迭代逼近

在一般的Banach空间中,研究了多值Φ-强伪压缩映象不动点和多值Φ-强增生映象方程解的Ishikawa迭代逼近问题.  

具偏差变元的Liénard型方程的周期解

在本文中，Ｌｉéｎａｒｄ型方程周期解存在性的结果被推广到具偏差变元的Ｌｉéｎａｒｄ型方程  

旋转回归分析在预防病虫害中的应用

通过旋转回归正交试验，对农业三项与玉米大斑病发生发展关系及规律进行深入研究，创建了玉米大斑病与农业措施关系的总回归模型及六个子模型，通过实践检验，肯定了模型的可靠性和应用的有效性。为农业生产起到了很好的指导作用。  

奇异半线性发展方程的局部Cauchy问题

本文在Ｂａｎａｃｈ空间Ｅ中讨论如下问题ｄｕｄｔ＋１ｔσＡｕ＝Ｊ（ｕ），０＜ｔＴ，ｌｉｍｔ→０＋ｕ（ｔ）＝０，其中ｕ：（０，Ｔ］Ｅ，Ａ是与ｔ无关的线性算子．（－Ａ）是Ｅ上Ｃ０半群｛Ｔ（ｔ）｝ｔ０的无穷小生成元，常数σ１，Ｊ是一个非线性映射ＥＪ→Ｅ．它满足局部Ｌｉｐｓｃｈｉｔｚ条件．我们证明了当其Ｌｉｐｓｃｈｉｔｚ常数ｌ（ｒ）满足一定条件时．问题（Ｓ）有局部解，且在某函类中解唯一．设Ｊ（ｕ）＝｜ｕ｜γ－１ｕ＋ｆ（ｘ）（γ＞１），Ｅ＝Ｌｐ，ＥＪ＝Ｌｐγ时得到了与Ｗｅｉｓｌｅｒ［２］在非奇异情形类似的结果．