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   Positive periodic solution for the generalized neutral differential equation with multiple delays and impulse  
   
نویسنده luo z. ,luo l. ,zeng y.
منبع journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
چکیده    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.
آدرس 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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