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Keywords:
neutral differential system; periodic solutions; fixed point theorem
neutral differential system; periodic solutions; fixed point theorem
Summary:
By means of the Krasnoselskii fixed piont theorem, periodic solutions are found for a neutral type delay differential system of the form \[ x^{\prime }\left( t\right) +cx^{\prime }\left( t-\tau \right) =A\left( t,x(t)\right) x\left( t\right) +f\left( t,x\left( t-r_{1}\left( t\right) \right) ,\dots ,x\left( t-r_{k}\left( t\right) \right) \right) . \]
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