Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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Original Articles

Periodic families of solutions for difference equations with a first integral

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Pages 11-22 | Received 20 Aug 1990, Published online: 02 May 2007

References

  • Bancroft , S. , Hale , J.K. and Sweet , D. 1968 . Alternative problems for non-linear functional equations . Jour. Diff. Eqs , 4 : 40 – 56 .
  • Chow , S.N. and Hale , J.K. 1982 . Methods of Bifurcation Theory , New York : Springer-Verlag .
  • Hale , J.K. 1969 . Ordinary Differential Equations , New York : Wiley .
  • Lakshmikantham , V. and Trigiante , D. 1988 . Theory of Difference Equations , New York : Academic Press .
  • LaSalle , J.P. 1976 . The stability of dynamical systems . Regional Conference Series in Appl. Math ,
  • Lewis , D.C. 1956 . On the role of first integrals in the perturbation of periodic solutions . Ann. Math , 63 : 535 – 548 .
  • Mansfield , A.W. and Sweet , D. 1981 . A quadratic convergence scheme for determining families of periodic solutions . J. Appl. Anal , 11 : 243 – 257 .
  • Rivera , W. Center and subcenter manifolds for difference equations with a first integral
  • Sweet , A. 1986 . A Newton scheme for conservatively singular systems . J. Math. Anal , 116 : 184 – 192 .
  • Sweet , D. 1973 . Periodic solutions for dynamical systems possessing a first integral in the resonance case . Jour. Diff. Eqs , 14 : 171 – 183 .

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