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EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS

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한국수학교육학회|2011.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제1호|pp. 87-95

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참고문헌

키워드

p-Laplaciandegree theoryperiodic solution.
주제분류수학

초록

The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.

Abstract

The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.

참고문헌 (11)

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  4. R.E. Gaines, "Coincidence degree and Nonlinear differential equations", Lecture Notes in Mathematics, 568 (1977), Springer-Verlag
  5. Y. Li, "New results of periodic solutions for forced rayleigh-type equations", J. Comput. Appl. Math, 221, pp.98~105 (2008)
  6. S. Lu, "Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument", Nonlinear analysis: TAM, 56, pp.501~514 (2004)
  7. S. Lu, "On the existence of periodic solutions to p-Laplacian rayleigh differ- ential equations with a delay", J. Math. Anal. Appl, 325, pp.685~702 (2007)
  8. R. Manasevich, "Periodic solutions for nonlinear systems with p-Laplacian- like operators", J. Diff. Equations, 145, pp.367~393 (1998)
  9. L. Wang, "New results of periodic solutions for a kind of forced rayleigh-type equations", Nonlinear Analysis : RWA, 11, pp.99~105 (2010)
  10. X. Yang, "Existence of periodic solutions in nonlinear asymmetric oscillations", Bull. London Math. Soc, 37, pp.566~574 (2005)
  11. M. Zong, "Periodic solutions for Rayleigh type p-Laplacian equation with deviating arguments", Appl. Math. Lett, 12, pp.41~44 (1999)

관련 논문AI추천

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITIONJian Jun Zhang, Jin Bo Ni, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2008 · 제45권 제6호ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATORTaiyong Chen, Wenbin Liu대한수학회 · 대한수학회보2012 · 제49권 제3호PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMSLi Zhang, Weigao Ge대한수학회 · 대한수학회보2010 · 제47권 제2호ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONSHui Xing Zhang, Jian Jun Zhang, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2010 · 제47권 제3호SOLVABILITY FOR SOME DIRICHLET PROBLEM WITH P-LAPACIAN김용인한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호

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