Existence and stability of solutions to neutral equations with infinite delay

Electronic Journal of Differential Equations

关键词: Neutral functional differential equation;    analytic semigroup;    fractional power operator;    linearized stability;    infinite delay;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, by using a fixed point theorem, we study the existenceand regularity of mild solutions for a class of abstract neutralfunctional differential equations with infinite delay. The fractionpower theory and alpha-norm is used to discuss the problem sothat the obtained results can be applied to equations with termsinvolving spatial derivatives. A stability result for the autonomous caseis also established. We conclude with an example that illustratesthe applications of the results obtained.

【 授权许可】

Unknown