J4 ›› 2011, Vol. 46 ›› Issue (8): 47-51.

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Existence of periodic solutions for higher order nonlinear neutral delay equations

CHEN Xin-yi   

  1. China Minorities Information Technology Institute, Northwest University for Nationalities, Lanzhou 730030, China
  • Received:2010-09-08 Online:2011-08-20 Published:2011-09-08

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Abstract:

The following nonlinear neutral delay equations  ［x(t)+cx(t-τ)］(n) +g(t,x(t-σ))=p(t) is discussed. By using the coincidence degree theory, a sufficient condition for the existence of periodic solution of the equation is given, which generalizes the known results.

Key words:  neutral delay equation; nonlinear; periodic solution

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