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Delay Differential Equations and Dynamical Systems pp 76–87Cite as

The coincidence degree of some functional differential operators in spaces of periodic functions and related continuation theorems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1475))

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References

  1. Capietto, A., Mawhin, J., Zanolin, F.: Continuation theorems for periodic perturbations of autonomous systems. Trans. Amer. Math. Soc., to appear

    Google Scholar 

  2. Chow, S.N., Mallet-Paret, J. (1978): The Fuller index and global Hopf bifurcation. J. Differential Equations, 29, 66–85

    Article  MathSciNet  MATH  Google Scholar 

  3. Hale, J.K. (1977): Theory of Functional Differential Equations. 2nd ed., Applied Math. Sci., vol. 3, Springer Verlag, Berlin-Heidelberg-New York

    Book  MATH  Google Scholar 

  4. Hale, J.K., Magalhaes, L.T., Oliva, W.M. (1984): An Introduction to Infinite Dimensional Dynamical Systems. Geometric Theory. Applied Math. Sci., vol. 47, Springer Verlag, Berlin-Heidelberg-New York

    Book  MATH  Google Scholar 

  5. Kupka, I. (1963–4): Contribution à la théorie des champs génériques. In Contrib. Differential Equations, 2, (1963), 457–484; 3, (1964), 411–420

    MathSciNet  MATH  Google Scholar 

  6. Leray, J., Schauder, J. (1934): Topologie et équations fonctionnelles. Ann. Sci. Ecol. Norm. Sup. 351, 45–78

    MathSciNet  MATH  Google Scholar 

  7. Mallet-Paret, J. (1977): Generic periodic solutions of functional differential equations. J. Differential Equations, 25, 163–183

    Article  MathSciNet  MATH  Google Scholar 

  8. Mawhin, J. (1971): Periodic solutions of functional differential equations. J. Differential Equations, 10, 240–261

    Article  MathSciNet  MATH  Google Scholar 

  9. Mawhin, J. (1979): Topological degree methods in nonlinear boundary value problems. CBMS 40, Amer. Math. Soc., Providence, R.I.

    Google Scholar 

  10. Mawhin, J. (1985): Points fixes, points critiques et problèmes aux limites. Séminaire de Mathématiques Supérieures, vol. 92, Les Presses de l'Université de Montréal

    Google Scholar 

  11. Oliva, W.M. (1969): Functional differential equations on compact manifolds and an approximation theorem. J. Differential Equations, 5, 483–496

    Article  MathSciNet  MATH  Google Scholar 

  12. Smale, S. (1963): Stable manifolds for differential equations and diffeomorphisms. Ann. Scuola Norm. Sup. Pisa, 17, 97–116

    MathSciNet  MATH  Google Scholar 

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Authors
  1. Anna Capietto
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  2. Jean Mawhin
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  3. Fabio Zanolin
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Stavros Busenberg Mario Martelli

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© 1991 Springer-Verlag

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Capietto, A., Mawhin, J., Zanolin, F. (1991). The coincidence degree of some functional differential operators in spaces of periodic functions and related continuation theorems. In: Busenberg, S., Martelli, M. (eds) Delay Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 1475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083481

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  • DOI: https://doi.org/10.1007/BFb0083481

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54120-2

  • Online ISBN: 978-3-540-47418-0

  • eBook Packages: Springer Book Archive

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