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SUFFICIENT CONDITIONS FOR THE INTERSECTION PROPERTY IN GENERALIZED LI¶ENARD SYSTEMS

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한국수학교육학회|2011.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제3호|pp. 245-253

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참고문헌

키워드

p-Laplaciangeneralized Li¶enard systemvertical isocline.
주제분류수학

초록

Some new results on the intersection property of all nonzero solutions of a class of planar systems of Li¶enard type with vertical isoclines are obtained. The results of this paper generalize some previous results on this ¯eld.

Abstract

Some new results on the intersection property of all nonzero solutions of a class of planar systems of Li¶enard type with vertical isoclines are obtained. The results of this paper generalize some previous results on this ¯eld.

참고문헌 (15)

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  5. T. Hara, "On the global center of generalized Lienard equation and its applications to stability problems", Funkcial Ekvac, 28, pp.171~192 (1985)
  6. G. Villari, "On a dynamical system in the Lienard plane. Necessary and su±cient conditions for the intersection with the vertical isocline and applications", Funkcial Ekvac, 33, pp.19~38 (1990)
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  11. J. Sugie, "Homoclinic orbits in generalized Lienard systems", J. Math. Anal. Appl, 309, pp.211~226 (2005)
  12. A. Aghajani, "Some sufficient conditions for the intersection with the vertical isocline in the Lienard plane", Appl. Math. Letters, 19, pp.491~497 (2006)
  13. M. Hesaaraki, "Intersection with the vertical isocline in the generalized Lienard equations", J. Math. Anal. Appl, 334, pp.787~795 (2007)
  14. A. Aghajani, "On the homoclinic orbits of the generalized Lienard equations", Appl. Math. Letters, 20, pp.345~351 (2007)
  15. J. Sugie, "Existence of limit cycles for Lienard-type systems with p-Laplacian", Nonlinear Differ. Equ. Appl, 14, pp.91~110 (2007)

관련 논문AI추천

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