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Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument 被引量:9

Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument
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摘要 By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument $$\frac{{d^2 }}{{dt^2 }}(x(t) + px(t - 1)) = qr\left( {2\left[ {\frac{{t + 1}}{2}} \right]} \right) + g{\bf{ }}(t,x(t),x([t]))$$ is studied. By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument d 2dt 2x(t)+px(t-1))=qx((2(t+12+g((t,x(t),x(()).is studied.
作者 袁荣
出处 《Science China Mathematics》 SCIE 1998年第3期232-241,共10页 中国科学:数学(英文版)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina
关键词 ALMOST PERIODIC solutions ALMOST PERIODIC sequences neutral delay equation PIECEWISE constant argu-ment. almost periodic solutions almost periodic sequences neutral delay equation piecewise constant argument
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参考文献13

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