On Algebroid Solutions of Generalized Complex Differential Equations

Using the Nevanlinna theory of the value distribution of meromorphic functions, we investigate the existence problem of admissible algebroid solutions of generalized complex algebraic differential equations and obtain some results.

On the Borel Radius of K-quasimeromophic Mappings in the Unit Disk

For the K_quasimeromorhpic mappings in the unit disk, the filling disks and the existence theorem of the Borel radius are derived.

文艺存在的存在性分析

文艺以意义要素方式和意义合谋方式存在,所以我们必须具体地梳理诗性、神话性和审美性以及这些意义与更广阔意义空间的混存事态。传统知识学风格的任何简单定义方式都程度不同地损害了对文艺人类和人类文艺的解读有效性,而对文艺存在的存在性分析,可以视为对这种损害的修复方案。

Meromorphic Solutions of Systems of Higher-Order Algebraic Differential Equations in Complex Domain

Using the Nevanlinna theory of the value distribution of meromorphic func- tions,we investigate the problem of the existence of admissible meromorphic solutions of a type of systems of higher-order algebraic differential equations.

THE EXISTENCE OF J-HOLOMORPHIC CURVES AND APPLICATIONS TO THE WEINSTEIN CONJECTURE

The author first proves the existences of J-holomorphic curves in the symplectizations of Legendre fibrations and then as an application confirms the Weinstein conjectures on contact manifolds of Legendre fibrations. As a corollary a new proof on the theorem due to Hofer,Viterbo, Gluck, Ziller, Weinstein and Ljusternik-Fet Theorem is provided, which is quite different from their original proofs.