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OALib Journal期刊
ISSN: 2333-9721
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Positive periodic solutions for second-order neutral differential equations with functional delay

Keywords: Neutral equation , positive periodic solution

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Abstract:

We use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions of the second-order nonlinear neutral differential equation $$ frac{d^2}{dt^2}x(t)+p(t)frac{d}{dt}x(t)+q(t)x(t) =cfrac{d}{dt}x(t- au(t))+f(t,h(x(t)),g(x(t- au(t)))). $$

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