Partial integrals, integrability, and the center problem

Differential Equations

Volumn 32, Issue 7, 1996, Pages 884-892

  Shube A S ^a  

^a Moldova State University

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744459818     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. G. Darboux, Bull. des Sc. Math., 60-96, 123-144, 151-200 (1878).
2. H. Poincaré, Curves Defined by Differential Equations [Russian translation], Moscow, Leningrad (1947).
3. A. M. Lyapunov, General Problem on Motion Stability [in Russian], Moscow, Leningrad (1950).
4. K. S. Sibirskii, Algebraic Invariants of Differential Equations and Matrices [in Russian], Kishinev (1976).
5. L. A. Cherkas, Differents. Uravn., 14, No. 9, 1594-1600 (1978).
6. V. V. Amel'kin, N. A. Lukashevich, and A. P. Sadovskii, Nonlinear Oscillations in Second-Order Systems [in Russian], Moscow (1982).
7. N. G. Lloyd and J. M. Pearson, J. Comput. Appl. Math., 40, No. 3, 323-336 (1992).
8. H. Zoladek, The Solution of the Center-Focus Problem, Preprint (1992).
9. V. N. Garbuzov and V. Yu. Tyshchenko, Mat. Sb., 183, No. 3, 76-94 (1992).
10. D. Schlomiuk, Trans. Amer. Math. Soc., 338, No. 2, 799-841 (1993).
11. G. M. Fikhtengol'ts, Course of Differential and Integral Calculus [in Russian], Vol. 2, Moscow (1970).