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## Guan, Keying

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 Author ID: guan.keying Published as: Guan, K.; Guan, K. Y.; Guan, K.-Y.; Guan, Ke-Ying; Guan, Ke-ying; Guan, Keying
 Documents Indexed: 45 Publications since 1983
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#### Co-Authors

 10 single-authored 11 Lei, Jinzhi 4 Liu, Sheng 3 Hu, Yanxia 3 Hu, Zhixing 3 Liu, Minghui 3 Ma, Ling 2 Chen, Zuming 2 Gunson, Jack 2 Zhang, Shaofei 1 Everitt, William Norrie 1 Hassan, Hossam S. 1 Wang, Cuiwei 1 Wang, Hui 1 Yang, Zhaoxia 1 Yin, Junyi
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#### Serials

 6 Acta Mathematicae Applicatae Sinica 6 Annals of Differential Equations 4 International Journal of Mathematics and Mathematical Sciences 3 Journal of Mathematical Research & Exposition 3 Science in China. Series A 3 Chinese Science Bulletin 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Applied Mathematics. Series A (Chinese Edition) 2 Pure and Applied Mathematics 1 Acta Mathematica Sinica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Partial Differential Equations. Series A 1 Journal of Partial Differential Equations 1 Neural, Parallel & Scientific Computations
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#### Fields

 31 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 7 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

15 Publications have been cited 37 times in 25 Documents Cited by Year
Integrability of second-order autonomous systems. Zbl 1014.34002
Guan, Keying; Lei, Jinzhi
2002
Techniques for searching first integrals by Lie group and application to gyroscope system. Zbl 1118.70010
Hu, Yanxia; Guan, Keying
2005
The Lie algebra admitted by an ordinary differential equation system. Zbl 0967.34003
Guan, Keying; Liu, Sheng; Lei, Jinzhi
1998
Reduction of quasi-homogeneous autonomous systems and reduced Kovalevskaya exponent. Zbl 1174.22005
Liu, Minghui; Guan, Keying
2008
Hille type oscillation criteria for a class of first-order neutral pantograph differential equations of Euler type. Zbl 1169.34046
Guan, K.; Shen, J.
2007
Structure of solvable subgroups of $$SL(2,\mathbb{C})$$ and integrability of Fuchsian equations on the torus $$T^ 2$$. Zbl 0870.34002
Guan, Keying; Zhang, Shaofei
1996
On periodic solutions of the periodic Riccati equation. Zbl 0671.34034
Guan, K.-Y.; Gunson, J.; Hassan, H. S.
1988
An attempt to differential Galois theory of second order polynomial system and solvable subgroup of Möbius transformations. Zbl 1130.34062
Guan, Ke-ying; Lei, Jin-zhi
2007
Approximate solutions for the $$R+R^ 2$$ theories of gravitation: torsion components. Zbl 0544.53024
Zhang, Y. Z.; Guan, K. Y.
1984
Global analysis of monodromy group of a Riccati equation on torus $$T^2$$. Zbl 0968.34074
Guan, Keying; Ma, Ling; Wang, Cuiwei
1999
Integrability of doubly-periodic Riccati equation. Zbl 0924.34004
Ma, Ling; Guan, Keying
1998
The fractal structure of the limit set of the solution space of a doubly periodic Riccati equation. Zbl 0905.34005
Guan, Keying
1997
On the relation between distinct particular solutions of equation $$y'=\sum^ n_{i=0} a_ i(x) y^ i$$. Zbl 0836.34006
Guan, Keying; Everitt, W. N.
1993
Static solutions of mixed Burgers-KdV equation. I. Zbl 0694.35208
Guan, Keying; Gunson, Jack
1988
On representing the general solution with the special solutions for the differential equation $$y'=\sum^{n}_{i=0}a_ i(x)y^ i$$. Zbl 0533.34011
Guan, Keying
1983
Reduction of quasi-homogeneous autonomous systems and reduced Kovalevskaya exponent. Zbl 1174.22005
Liu, Minghui; Guan, Keying
2008
Hille type oscillation criteria for a class of first-order neutral pantograph differential equations of Euler type. Zbl 1169.34046
Guan, K.; Shen, J.
2007
An attempt to differential Galois theory of second order polynomial system and solvable subgroup of Möbius transformations. Zbl 1130.34062
Guan, Ke-ying; Lei, Jin-zhi
2007
Techniques for searching first integrals by Lie group and application to gyroscope system. Zbl 1118.70010
Hu, Yanxia; Guan, Keying
2005
Integrability of second-order autonomous systems. Zbl 1014.34002
Guan, Keying; Lei, Jinzhi
2002
Global analysis of monodromy group of a Riccati equation on torus $$T^2$$. Zbl 0968.34074
Guan, Keying; Ma, Ling; Wang, Cuiwei
1999
The Lie algebra admitted by an ordinary differential equation system. Zbl 0967.34003
Guan, Keying; Liu, Sheng; Lei, Jinzhi
1998
Integrability of doubly-periodic Riccati equation. Zbl 0924.34004
Ma, Ling; Guan, Keying
1998
The fractal structure of the limit set of the solution space of a doubly periodic Riccati equation. Zbl 0905.34005
Guan, Keying
1997
Structure of solvable subgroups of $$SL(2,\mathbb{C})$$ and integrability of Fuchsian equations on the torus $$T^ 2$$. Zbl 0870.34002
Guan, Keying; Zhang, Shaofei
1996
On the relation between distinct particular solutions of equation $$y'=\sum^ n_{i=0} a_ i(x) y^ i$$. Zbl 0836.34006
Guan, Keying; Everitt, W. N.
1993
On periodic solutions of the periodic Riccati equation. Zbl 0671.34034
Guan, K.-Y.; Gunson, J.; Hassan, H. S.
1988
Static solutions of mixed Burgers-KdV equation. I. Zbl 0694.35208
Guan, Keying; Gunson, Jack
1988
Approximate solutions for the $$R+R^ 2$$ theories of gravitation: torsion components. Zbl 0544.53024
Zhang, Y. Z.; Guan, K. Y.
1984
On representing the general solution with the special solutions for the differential equation $$y'=\sum^{n}_{i=0}a_ i(x)y^ i$$. Zbl 0533.34011
Guan, Keying
1983
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#### Cited by 38 Authors

 4 Guan, Keying 4 Hu, Yanxia 2 Feng, Zhaosheng 2 Guan, Kaizhong 2 Lei, Jinzhi 2 Liang, Haihua 1 Alqahtani, Aisha M. 1 Campos, Juan 1 Carroll, Robert L. 1 Chen, Zuming 1 Gunson, Jack 1 Hassan, Hossam S. 1 He, Xiaobao 1 Karpuz, Başak 1 Knobel, Roger 1 Kumar, Vikas 1 Li, Feng 1 Li, Shimin 1 Liu, Minghui 1 Liu, Tao 1 Liu, Yirong 1 Manoukian, Edouard B. 1 Mawhin, Jean L. 1 Meng, Qingguo 1 Ni, Hua 1 Obukhov, Yuri N. 1 Ocalan, Ozkan 1 Ponomarev, V. N. 1 Qiu, Bao Hua 1 Scheiderer, Claus 1 Shen, Jianhua 1 Tian, Yuzhou 1 Wang, Jing 1 Wang, Qisheng 1 Wilczyński, Paweł 1 Xue, Chongzheng 1 Yang, Xiaozhong 1 Zhytnikov, Vadim V.
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#### Cited in 19 Serials

 3 Journal of Mathematical Analysis and Applications 2 General Relativity and Gravitation 2 Journal of Differential Equations 2 Science in China. Series A 2 Qualitative Theory of Dynamical Systems 1 Computers & Mathematics with Applications 1 Reports on Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Applied Mathematics 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Nonlinear Analysis. Real World Applications 1 Advances in Difference Equations
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#### Cited in 13 Fields

 19 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)