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Components Admissible Solution of Algebraic Differential Equations Systems
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作者 LI Guo-wang GAO Ling-yun 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期457-461,共5页
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
关键词 value distribution differential equation components admissible solution
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Generalized Higher-Order Algebraic Differential Equations with Admissible Algebroid Solutions 被引量:4
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作者 高凌云 《Northeastern Mathematical Journal》 CSCD 2001年第2期159-168,共10页
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.
关键词 algebroid functions admissible solution generalized higher order algebraic differential equations.
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Admissible Periodic Bouncing Solutions for A Class of Semi-linear and Non-conservative Impact Oscillators
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作者 HANG Wei-tao WANG Chao +1 位作者 LI Qi YANG Xiao 《Chinese Quarterly Journal of Mathematics》 2018年第2期111-121,共11页
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.
关键词 Impact oscillators SEMI-LINEAR Periodic admissible bouncing solutions Topological degree
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On Algebroid Solutions of Generalized Complex Differential Equations
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作者 高凌云 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第1期20-25,共6页
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
关键词 algebroid functions admissible solution generalized differential equations
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Admissible Meromorphic Solutions of a Type of Higher-Order Algebraic Differential Equation 被引量:1
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作者 高凌云 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2003年第3期443-448,共6页
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.
关键词 meromorphic admissible solutions algebraic differential equations finite accumulations.
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On the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations
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作者 邱青 韩国平 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第2期16-21,共0页
In this paper we investigate the form of a class of complex differential equations withadmissible solution and obtain a main result.
关键词 admissible solution form of complex differential equations the value distribution
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A RESULT OF SYSTEMS OF NONLINEAR COMPLEX ALGEBRAIC DIFFERENTIAL EQUATIONS 被引量:3
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作者 高凌云 《Acta Mathematica Scientia》 SCIE CSCD 2010年第5期1507-1513,共7页
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
关键词 admissible solution BEHAVIOR complex differential equations
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The Third Initial-boundary Value Problem for a Class of Parabolic Monge-Ampère Equations
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作者 LU BO-QIANG LI FENG-QUAN 《Communications in Mathematical Research》 CSCD 2012年第1期75-90,共16页
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
关键词 parabolic Monge-Ampere equation admissible solution the third initial-boundary value problem
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Parabolic Monge-Ampère Equation on Riemannian Manifolds
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作者 任长宇 王光烈 《Northeastern Mathematical Journal》 CSCD 2007年第5期413-424,共12页
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.
关键词 Riemann manifold fully nonlinear equation admissible solution Monge- Ampère type equation
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