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Positive periodic solution for the generalized neutral differential equation with multiple delays and impulse
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نویسنده
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luo z. ,luo l. ,zeng y.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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By using a fixed point theorem of strict-set-contraction,which is different from gaines and mawhin's continuation theorem and abstract continuation theory for k-set contraction,we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: x'(t)=x(t)[a(t)-f(t,x(t),x(t-τ1(t,x(t))),.,x(t-τn(t,x(t))),x'(t-γ1(t,x(t))),.,x'(t-γm(t,x(t))))],t≠tk,kz+; x(tk+)=x(tk-)+θk(x(tk)),kz+. as applications of our results,we also give some applications to several lotka-volterra models and new results are obtained. © 2014 zhenguo luo et al.
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آدرس
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department of mathematics,national university of defense technology,changsha 410073,china,department of mathematics,hengyang normal university, China, department of mathematics,hengyang normal university, China, department of mathematics,hengyang normal university, China
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Authors
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