Volterra积分微分方程周期正解的一个新的存在性理论

A New Existence Theory for Positive Periodic Solutions to Volterra Integro-differential Equations

该文通过使用锥不动点定理,研究了一类非自治Volterra积分微分方程周期正解的一个新的存在性理论,把一般结果应用于几类具时滞的生物数学模型时,改进了一些已知结果,并得到了一些新的结果.

This paper deals with a new existence theory for positive periodic solutions to a kind of nonautonomous Volterra integro-differential equations by employing a fixed point theorem in cones. Applying the general theorems established to several biomathematical models, the paper improves some previous results and obtains some new results.