模糊微分方程的反周期解

主要利用微分包含的方法得到模糊微分方程的反周期解的存在性结果，并给了一个例子说明主要结果的可行性.     

具有奇性的时滞Rayleigh方程周期正解存在性

研究了含有奇性的时滞Rayleigh方程x″(t)+f(x'(t))+g(t,x(t-σ))=0周期正解的存在性问题,其中f:R→R连续,g:R×(0,∞)→R连续,关于t为T周期,且在x=0处具有奇性,即limx→0+g(t,x)=∞.利用Mawhin重合度延拓定理,证明了上述方程至少存在一个T周期正解.     

带有临界增长的Kirchhoff方程极小能量变号解的存在性

为了深入研究Kirchhoff方程的性质,讨论了带有Hartree项和临界增长非线性项的Kirchhoff方程极小能量变号解的存在性。利用能量泛函在变号Nehari流形上的下确界C_λ收敛于0,得到空间E紧嵌入L~6(R~3)这一技术性结果。结果表明,利用限制变分方法和定量形变引理获得极小化序列对应的极小值点是该问题的非平凡解。研究方法在理论证明方面得到了良好的结果,对研究其他Kirchhoff方程解的存在性有一定的指导意义。     

Banach空间中二阶Volterra型积分微分方程边值问题解的存在性

利用上、下解法在正规锥上证明了二阶非线性Volterra型积分微分方程边值问题解的存在性。     

推广的B-BBM方程的显示孤立波解

利用推广的tanh函数法,借助于Matlab的符号运算功能,构造了推广的B BBM方程的孤子解,还得到了三角周期解和有理解.     

灰色参数线性规划解法论

叙述了灰色参数线性规划的基本思想和模型，总结了近十多年来求解的主要研究成果，并对该领域的进一步研究提出了一些想法和展望．     

具有hollingⅢ类功能反应的非自治捕食系统概周期解

讨论了一类具有hollingⅢ类功能反应的非自治捕食概周期系统，得到了该系统存在的唯一一致渐近稳定概周期解的充分条件。     

Ideals and monisms: recent criticisms of the Strong Programme in the sociology of knowledge

I offer a reply to criticisms of the Strong Programme presented by Stephen Kemp who develops some new lines of argument that focus on the ‘monism’ of the programme. He says the programme should be rejected for three reasons. First, because it embodies ‘weak idealism’, that is, its supporters effectively sever the link between language and the world. Second, it challenges the reasons that scientists offer in explanation of their own beliefs. Third, it destroys the distinction between successful and unsuccessful instrumental action. Kemp is careful to produce quotations from the supporters of the programme as evidence to support his case. All three points deserve and are given a detailed response and the interpretation of the quoted material plays a significant role in the discussion. My hope is that careful exegesis will offset the numerous misinterpretations that are current in the philosophical literature. Particular attention is paid to what is said about the normative standards involved in the application of empirical concepts. The operation of these standards in the face of the negotiability of all concepts is explored and misapprehensions on the topic are corrected. The work of Wittgenstein, Popper, Kuhn and Hesse is used to illustrate these themes.     

我国廉租房建设中存在的问题及对策分析

廉租房作为解决城镇低收入家庭住房问题的一种主要渠道,其建设的进展情况并不乐观,在建设模式、资金供应、分配标准等方面仍存在不少问题。为此,需要加强认识、采取多元化融资方式、完善廉租房相关制度,使廉租房建设真正落实到位,从而促进我国住房保障体系乃至整个房地产市场的健康发展。     

一类次二次Hamilton系统的次调和解的存在性

运用临界点理论中的极小极大方法得到一类次二次Hamilton系统的次调和解的存在性定理.