一个新的Ky Fan匹配定理及其在L-凸度量空间中的应用

建立了转移开覆盖的一个新的Ky Fan型匹配定理．作为应用，获得了Fan-Browder重合定理，不动点定理、极大元定理，相交定理和截口定理．     

一类含强迫项的Rayleigh型方程的反周期解

利用双线性形式和重合度理论,研究了一类含有强迫项的Rayleigh曲型方程的反周期解,给出了反周期解存在和唯一的新的判据,所得结果改善了已有的工作.     

Damage track detectors in radioprotection dosimetry: a novel approach

Limited sensitivity and unpredictable background are the major drawbacks of damage track detectors in the assessment of low neutron doses and low concentrations of alpha emitters in biological and environmental samples. The simplest way to increase the sensitivity of the damage track detectors is to increase both the exposure time and the detector area. However, the strong variability of the background may make this task often impossible. This background problem has been finally solved by a new registration method based on counting coincidence spots in geometrically matched pair of detectors. By using spark counting and electrochemical etching, both of which produce spots visible at low magnification, coincidences induced in two matched detector-surfaces by a few-microns-long tracks can be easily seen. This novel counting approach can be considered just the converse of those used in the past with Bi-fission detectors and cosmic ray stacks.     

变系数三泛函微分议程的周期解

Abstract. The sufficient condition for the existence of 2π-periodic solutions of the following third-order functional differential equations with variable coefficients a(t)x^m(t) bx^2k-1(t) cx^12k-1(t) ∑↑2k-1i=1cix^i(t) g(x(t-τ))=p(t)=p(t 2π)is obtained. The approach is based on the abstract continuation theorem from Mawhin and the a-priori estimate of periodic solutions.     

一类一阶中立型泛函微分方程周期解的存在与唯一性

利用重合度理论研究并获得了如下一类一阶中立型泛函微分方程T-周期解的存在与唯一性(x(t)+Bx(t-δ))′：g1(t,x(t))+g2(t,x(t-τ(t)))+p(t)．     

一类三次Kolmogorov捕食者-食饵种群差分系统正周期解的存在性

研究了一类三次Kolmogorov捕食者-食饵种群差分系统正周期解的存在性,利用重合度理论中的连续性定理建立了存在正周期解的充分性依据,推广并改进了文献中的相关结果.     

一类具时滞2n阶非线性常微分方程周期解的存在性

通过应用拓扑度的方法,获得了一类具时滞2n阶非线性微分方程2π周期解的存在性的充分条件.     

一类非线性连续分布时滞系统的周期正解

研究一类非线性周期连续时滞传染病模型ny′i(t)=-αi(t)yi(t)+(ci(t)-yi(t))∑j=1βij(t∫)0-TKj(s)yj(t+s)ds,i=1,2,…,n作者主要讨论了该传染病模型的周期正解的全局存在性,运用重合度延拓理论证明了该模型至少存在一个满足容许值的ω-周期正解.     

Common fixed points of two maps in cone metric spaces

We prove the existence of points of coincidence and common fixed points of a pair of self-mappings satisfying a generalized contractive condition in cone metric spaces. Our results generalize several well-known recent and classical results.