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Existence and Uniqueness of Periodic Solutions for a Kind of Rayleigh Equation with a Deviating Argument

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Abstract

In this paper, we use the coincidence degreetheory to establish new results on the existence and uniqueness ofT-periodic solutions for a kind of Rayleighequation with a deviating argument of the formx''+f(x'(t))+g(t,x(t-tau(t)))=p(t).

참고문헌 (6)

  1. "Stability and Periodic Solution of Ordinary andFunctional Differential Equations" (1985), Academic Press
  2. "On existence of 2pi-periodicsolutions for delay duffing equationx''+g", pp.201~ (1994)
  3. "Periodic solutions for a kind ofLiacute{eneard equations witha deviating argument", 289(1), pp.231~243 (2004)
  4. "Some new results on the existence ofperiodic solutions to a kind of Rayleighequation with a deviating argument", 56(4), pp.501~514 (2004)
  5. "Periodic solutions of some vector retarded functionaldifferential equations", pp.588~ (1974)
  6. "A priori bounds for periodic solutions of a delay Rayleighequation", 12, pp.41~44 (1999)

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