Existence Results for Neutral Integro-differential Equations with Nonlocal Conditions

讲座名称：Existence Results for Neutral Integro-differential Equations with Nonlocal Conditions

讲座人：傅显隆 教授

讲座时间：10月15日15:40

讲座地点：腾讯会议直播（ID：827 413 630）

讲座人介绍：

傅显隆，华东师范大学数学科学学院教授。研究方向为泛函微分方程理论及其应用。近年来致力于泛函微分发展方程，时滞发展控制系统，无穷维动力系统以及年龄结构种群系统方面的研究。迄今在Appl. Math. Optim. Int. J. Bifurcations & Chaos 等刊物发表学术论文近70篇。

讲座内容：

In this work we study the existence and regularity of solutions for neutral integro-differential equations with non-local condition by applying the theory of resolvent operators established recently in literature. Since the nonlinear terms of the systems involve spacial derivatives, we make full use of the theory of fractional power, $\alpha$-norm and Schauder's fixed point theorem to discuss the problems. An example is given to illustrate the applications of the obtained results.。

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