講座名稱：Existence Results for Neutral Integro-differential Equations with Nonlocal Conditions

講座人：傅顯隆 教授

講座時(shí)間：10月15日15:40

講座地點(diǎn)：騰訊會(huì)議直播（ID：827 413 630）

講座人介紹：

傅顯隆，華東師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授。研究方向?yàn)榉汉⒎址匠汤碚摷捌鋺?yīng)用。近年來致力于泛函微分發(fā)展方程，時(shí)滯發(fā)展控制系統(tǒng)，無窮維動(dòng)力系統(tǒng)以及年齡結(jié)構(gòu)種群系統(tǒng)方面的研究。迄今在Appl. Math. Optim. Int. J. Bifurcations & Chaos 等刊物發(fā)表學(xué)術(shù)論文近70篇。

講座內(nèi)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.。

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院