Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (S1): 93-100.

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Necessary and Sufficient Condition of Existence and Uniqueness of the Periodic Solution For a Class of Equation of High Order of Compound Type

Yang Qigui   

  1. Department of Mathematics and Computer Science, Guangxi Normal University, Guilin 541004
  • Received:1996-09-11 Revised:1996-11-25 Online:1998-12-26 Published:1998-12-26

Abstract: In this paper the periodic solution of linear functional equation of compound type ofarbitary order with constant coefficients and two constant delays is considered by Fourier seriestheory,and necessary and sufficient condition characterized by coefficients and delays is ob-tained, under which periodic solution of compound equation will be existence and uniqueness.

Key words: Functional differential equation, compound type, periodic solution

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