본문 바로가기
KERD
논문KCI 등재

Existence of periodic solutions of a higher order difference system

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

By using critical point theorem, we study a higher order difference system, and obtain some new sufficient conditions ensuring the existence of periodic solutions for such a system

Abstract

By using critical point theorem, we study a higher order difference system, and obtain some new sufficient conditions ensuring the existence of periodic solutions for such a system

참고문헌 (22)

  1. R. P. Agarwal, "Difference Equations and Inequalities, Theory, methods, and applications. Monographs and Textbooks in Pure and Applied Mathematics", pp.155~ (1992), Marcel Dekker, Inc.
  2. R. P. Agarwal, "Periodic solutions of difference equations with general periodicity", Computers & Mathematics with Applications, 42(3), pp.719~727 (2001)
  3. Jingliang Chen, "The Particular Matrix" (2000), Tsinghua University Press
  4. S. N. Eladi, "An Introduction to Difference Equations, Second edition. Undergraduate Texts in Mathematics" (1999), Springer-Verlag
  5. S. N. Elaydi, "Stability and periodicity of difference equations with finite delay", FUNKCIALAJ EKVACIOJ, 37(3), pp.401~413 (1994)
  6. L. H. Erbe, "Global stability of a linear nonautonomous delay difference equation", Journal of Difference Equations and Applications, 1(2), pp.151~161 (1995)
  7. Z. M. Guo, "Existence of periodic and subharmonic solutions for secondorder superlinear difference equations", Science in China Series A, 46(4), pp.506~515 (2003)
  8. Z. M. Guo, "The existence of periodic and subharmonic solutions of subquadratic second order difference equations", Journal of the London Mathematical Society, 68(2), pp.419~430 (2003)
  9. J. K. Hale, "Coincidence degree and periodic solutions of neutral equations", Journal of Differential Equations, 15, pp.295~307 (1974)
  10. J. L. Kaplan, "Ordinary differential equations which yield periodic solutions of differential delay equations", Journal of Mathematical Analysis and Applications, 48, pp.317~324 (1974)
  11. V. L. Kocic, "Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Mathematics and its Applications", pp.256~ (1993), Kluwer Academic Publishers Group
  12. H. Matsunaga, "Global attractivity for a nonlinear difference equation with variable delay", Computers & Mathematics with Applications, 41(5), pp.543~551 (2001)
  13. J. Mawhin, "Critical Point Theory and Hamiltonian Systems, Applied Mathematical Sciences", pp.74~ (1989), Springer-Verlag
  14. P. H. Rabinowitz, "Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS Regional Conference Series in Mathematics", Published for the Conference Board of the Mathematical Sciences, pp.65~ (1986), American Mathematical Society
  15. X. H. Tang, "Oscillation of nonlinear delay difference equations", Journal of Mathematical Analysis and Applications, 249(2), pp.476~490 (2000)
  16. K. Yosida, "Functional Analysis" (1995), Springer-Verlag
  17. J. S. Yu, "Asymptotic stability for a linear difference equation with variable delay", Computers & Mathematics with Applications, 36(10), pp.203~210 (1998)
  18. G. Zhang, "Critical point Theory and Application" (1986), Shanghai Press
  19. Z. Zhou, "Uniform stability of nonlinear difference systems", Journal of Mathematical Analysis and Applications, 225(2), pp.486~500 (1998)
  20. Z. Zhou, "Periodic orbits on discrete dynamical systems", Computers & Mathematics with Applications, 45(6), pp.1155~1161 (2003)
  21. Z. Zhou, "Periodic solutions of higher-dimensional discrete systems", Proc. Roy. Soc. Edinburgh Sect. A, 통권 : 134, pp.1013~1022 (2004)
  22. Z. Zhou, "The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems", Australian & New Zealand Industrial and Applied Mathematics Journal, 47(1), pp.89~102 (2005)

관련 논문AI추천

이 간행물의 다른 논문 (19건)