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Nontrivial periodic solutions of some volterra integral equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 737)

Keywords

  • Periodic Solution
  • Hopf Bifurcation
  • Scalar Equation
  • Implicit Function Theorem
  • Bifurcation Theory

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References

  1. K. L. Cooke and J. A. Yorke, Some equations modelling growth processes and gonorrhea epidemiology, Math. Biosci. 16(1973), 75–101.

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  2. Frank Hoppensteadt, Mathematical Theories of Populations: Demographics, Genetics and Epidemics, SIAM Regional Conference Series in Applied Mathematics (1975), SIAM, Philadelphia, Pa.

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  3. J. M. Cushing, Bifurcation of periodic solutions of integro-differential systems with applications to time delay models in population dynamics, SIAM J. Appl. Math. 33, no. 4(1977), 640–654.

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  4. David H. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics 309(1973), Springer-Verlag, New York.

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  5. A. B. Poore, On the theory and application of the Hopf-Friedrichs bifurcation theory, Arch. Rat. Mech. Anal. 60 (1976), 371–393.

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  6. Paul Waltman, Deterministic Threshold Models in the Theory of Epidemics, Lecture Notes in Biomathematics 1(1974), Springer-Verlag, New York.

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© 1979 Springer-Verlag

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Cushing, J.M. (1979). Nontrivial periodic solutions of some volterra integral equations. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064495

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  • DOI: https://doi.org/10.1007/BFb0064495

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

  • eBook Packages: Springer Book Archive