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ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Tai Yong Chen|Wen Bin Liu|Jian Jun Zhang|Hui Xing Zhang
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회지 (Journal of the KMS)|제47권 제3호|pp. 573-583

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참고문헌

키워드

anti-periodic solutionhigher-order differential equationLeray-Schauder principle
주제분류수학

초록

In this paper, the existence of anti-periodic solutions for higher-order nonlinear ordinary differential equations is studied by using degree theory and some known results are improved to some extent.

Abstract

In this paper, the existence of anti-periodic solutions for higher-order nonlinear ordinary differential equations is studied by using degree theory and some known results are improved to some extent.

참고문헌 (12)

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  3. F. Z. Cong, "Existence and uniqueness of periodic solutions for (2n+1)th-order differential equations", J. Math. Anal. Appl., 241(1), pp.1~9 (2000)
  4. K. Deimling, "Nonlinear Functional Analysis" (1985), Springer-Verlag
  5. G. H. Hardy, "Inequalities" (1952), Cambridge University Press
  6. B. W. Li, "Existence of periodic solutions for nonlinear nth order ordinary differential equations", Acta Math. Sinica (Chin. Ser.), 47(6), pp.1133~1140 (2004)
  7. W. G. Li, "Periodic solutions for 2kth order ordinary differential equations with resonance", J. Math. Anal. Appl., 259(1), pp.157~167 (2001)
  8. W. B. Liu, "Existence of periodic solutions for higher-order Duffing equations", Acta Math. Sinica (Chin. Ser.), 46(1), pp.49~56 (2003)
  9. J. Mawhin, "Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations", J. Differential Equations, 52(2), pp.264~287 (1984)
  10. M. Nakao, "Existence of an anti-periodic solution for the quasilinear wave equation with viscosity", J. Math. Anal. Appl., 204(3), pp.754~764 (1996)
  11. R. Ortega, "Counting periodic solutions of the forced pendulum equation", Nonlinear Anal., 42(6), pp.1055~1062 (2000), Ser. A: Theory Methods
  12. M. A. Pinsky, "Oscillations of a pendulum with a periodically varying length and a model of swing", Internat. J. Non-Linear Mech., 34(1), pp.105~109 (1999)

관련 논문AI추천

ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATORTaiyong Chen, Wenbin Liu대한수학회 · 대한수학회보2012 · 제49권 제3호EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITIONJian Jun Zhang, Jin Bo Ni, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2008 · 제45권 제6호Multiple periodic solutions of second-order ordinary differential equations across resonanceHua Cai, Xiaojun Chang, Xin Zhao대한수학회 · 대한수학회보2014 · 제51권 제5호EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Anti-periodic Boundary Value Problem for Impulsive Differential Equations with DelayFengqin Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호

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