非线性滞后型微分方程非局部边值问题的正解

By using Krasnoselskii‘s fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained.     

Linear independence of refinable distributions supported on [0, 2]×[0, 2]

In this paper a necessary and sufficient condition on symbol is given for linear independence of refinable distributions supported on [0,2]×[0,2]. This project is partially supported by the National Natural Science Foundation of China (No. 69735020), the Tian Tuan Foundation, the Doctoral Bases Promotion Foundation of National Educational Commission of China (No. 97033519) and the Zhejiang Provincial Science Foundation of China (No. 196038).     

The structure of the rational point groups of simple abelian varieties of dimension two over finite fields

This research is supported by the Alexander von Houmboldt Foundation and the Chinese Natural Science Foundation.     

Positive Periodic Solutions of a Class of Non-autonomous Single Species Population Model with Delays and Feedback Control

With the help of a continuation theorem based on Gaines and Mawhin＇s coincidence degree, several verifiable criteria are established for the global existence of positive periodic solutions of a class of non-autonomous single species population model with delays （both state-dependent delays and continuous delays） and feedback control. After that, by constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of a unique globally asymptotic stable positive periodic solution of a kind of nonlinear feedback control ecosystem are obtained. Our results extend and improve the existing results, and have further applications in population dynamics.     

Algebraic maps from spheres to spheres

Some homotopy classes of the unit spheres are explicitly represented by entire rational maps. Project supported by the National Natural Science Foundation of China (Grant No. 19531050), the Special Foundation of the Chinese Academy of Sciences, Hong Kong Qiu-Shi Foundation and the Education Foundation of Tsinghua University.     

Stability of the homology of the moduli spaces of Riemann surfaces with spin structure

This work was supported by grants from the Sloan Foundation, the National Science Foundation and the CNR     

Asymptotic behavior of gibbs functions forM-band wavelet expansions

In this paper the asymptotic behavior of Gibbs function for a class ofM-band wavelet expansions is given. In particular, the Daubechies’ wavelets are included in this class. The authors are partially supported by the Chinese National Natural Science Foundation (19571972), the Key Project Foundation (69735020) and the Zhejiang Provincial Science Foundation of China (196083)     

The mapping class group of a generic quadratic rational map and automorphisms of the 2-shift

Research Supported in part by the Alfred P. Sloan Foundation, The National Science Foundation, and the PSC-CUNY Fellowship Award Program.     

Estimations on dimensions of spaces of Jacobi forms

Estimations on dimensions of spaces of Jacobi forms are given by extending the classical Siegel theorem to the theory of Jacobi forms. Project supported by the China Postdoctoral Science Foundation and the National Natural Science Foundation of China.     

A multiplier method with automatic limitation of penalty growth

This paper presents a multiplier method for solving optimization problems with equality and inequality constraints. The method realizes all the good features that were foreseen by R. Fletcher for this type of algorithm in the past, but which suffers from none of the drawbacks of the earlier attempts.Research sponsored by the National Science Foundation (RANN) Grant ENV76-04264 the National Science Foundation Grant ENG73-08214-A01 and the Sweden-American Foundation.