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Positive periodic solutions of functional differential equations with infinite delay

Volume 93 / 2008

Changxiu Song Annales Polonici Mathematici 93 (2008), 75-83 MSC: Primary 34C25. DOI: 10.4064/ap93-1-6

Abstract

The author applies a generalized Leggett–Williams fixed point theorem to the study of the nonlinear functional differential equation $$ x'(t)=-a(t,x(t))x(t)+f(t,x_t). $$ Sufficient conditions are established for the existence of multiple positive periodic solutions.

Authors

  • Changxiu SongSchool of Applied Mathematics
    Guangdong University of Technology
    Guangzhou 510006, P.R. China
    e-mail

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