Using the Nevanlinna value distribution theory of meromorphic function,we investigate the existence problem of admissible solutions of higher-order algebraic differential equations systems,and obtain a result concerni...Using the Nevanlinna value distribution theory of meromorphic function,we investigate the existence problem of admissible solutions of higher-order algebraic differential equations systems,and obtain a result concerning admissible components of solution.展开更多
Using the Nevanlinna theory of the value distribution of meromorphic functions, we investigate the existence problem of admissible algebroid solutions of generalized higher order algebraic differential equations.
In this paper, by using the topological degree method and some limiting arguments, the existence of admissible periodic bouncing solutions for a class of non-conservative semi-linear impact equations is proved.
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...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.展开更多
Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the form of a type of algebraic differential equation with admissible meromorphic solutions and obtain a Malmquist type theorem.
In this article, we mainly investigate the behavior of systems of complex differential equations when we add some condition to the quality of the solutions, and obtain an interesting result, which extends Gaekstatter ...In this article, we mainly investigate the behavior of systems of complex differential equations when we add some condition to the quality of the solutions, and obtain an interesting result, which extends Gaekstatter and Laine's result concerning complex differential equations to the systems of algebraic differential equations.展开更多
For the more general parabolic Monge-Ampère equations defined by the operator F (D2u + σ(x)), the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equa...For the more general parabolic Monge-Ampère equations defined by the operator F (D2u + σ(x)), the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.展开更多
This paper deals with a class of parabolic Monge-Ampère equation on Riemannian manifolds. The existence and uniqueness of the solution to the first initial-boundary value problem for the equation are established.
基金Supported by the NSF of Guagndong Province(04010474)
文摘Using the Nevanlinna value distribution theory of meromorphic function,we investigate the existence problem of admissible solutions of higher-order algebraic differential equations systems,and obtain a result concerning admissible components of solution.
文摘Using the Nevanlinna theory of the value distribution of meromorphic functions, we investigate the existence problem of admissible algebroid solutions of generalized higher order algebraic differential equations.
基金Supported by the NNSF of China(11571249)NSF of JiangSu Province(BK20171275)Supported by the grant of Innovative Training Program of College Students in Jiangsu province(201410324001Z)
文摘In this paper, by using the topological degree method and some limiting arguments, the existence of admissible periodic bouncing solutions for a class of non-conservative semi-linear impact equations is proved.
文摘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.
文摘Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the form of a type of algebraic differential equation with admissible meromorphic solutions and obtain a Malmquist type theorem.
基金Project Supported by the Natural Science Foundation of China(10471065)the Natural Science Foundation of Guangdong Province(04010474)
文摘In this article, we mainly investigate the behavior of systems of complex differential equations when we add some condition to the quality of the solutions, and obtain an interesting result, which extends Gaekstatter and Laine's result concerning complex differential equations to the systems of algebraic differential equations.
基金The NSF (10401009) of ChinaNCET (060275) of China
文摘For the more general parabolic Monge-Ampère equations defined by the operator F (D2u + σ(x)), the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.
文摘This paper deals with a class of parabolic Monge-Ampère equation on Riemannian manifolds. The existence and uniqueness of the solution to the first initial-boundary value problem for the equation are established.