Applications of the integral averaging bifurcation method to retarded functional differential equations

  • Julio Ruiz-Claeyssen
  • Bernardo Cockburn
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 799)

Keywords

Periodic Solution Hopf Bifurcation Functional Differential Equation Bifurcation Curve Center Curve 
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References

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    CHOW, S.-N. and MALLET-PARET, J., Integral averaging and bifurcation, J. Diff. Equations, 26(1977), 112–158.ADSMathSciNetCrossRefMATHGoogle Scholar
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    CHOW, S.-N., Existence of periodic solutions of autonomous functional differential equations, J. Diff. Equations, 15 (1974), 350–378.ADSMathSciNetCrossRefMATHGoogle Scholar
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    COCKBURN, B., On the equilibrium points of the equation x'(t) F(x(t),x(t−r)). Proc. IV Lat. Ame. Sch. Math. Tech. Rep., no 2 (1979), Departamento de Matematicas, Universidad Nacional de Ingenieria, (1979).Google Scholar
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    HALE, J.K., Theory of Functional Differential Equations, Springer-Verlag, (1977).Google Scholar
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    HALE, J.K., Behavior near constant solutions of functional differential equations, J. Diff. Equations, 15(1974), 278–294.ADSMathSciNetCrossRefMATHGoogle Scholar
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    KAZARINOFF, N.D., WAN, Y.H. and DRIESCHE, P. Van der, Hopf bifurcation and stability of periodic solutions of differential-difference and integro-differential equations, J. Inst. Math. Appl., (1978), 461–477.Google Scholar
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    RUIZ-CLAEYSSEN, J., The integral averaging bifurcation method and the general one delay equation, Tech. Rep. no 3, (1979), Departamento de Matematicas, Universidad Nacional de Ingenieria.Google Scholar
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    RUIZ-CLAEYSSEN, J., Effects of delays on functional differential equations, J. Diff. Equations, (1976), 404–440.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Julio Ruiz-Claeyssen
  • Bernardo Cockburn

There are no affiliations available

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