Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel

Rodrigo Ponce, Mahamadi Warma

Let $A$ be a densely defined closed, linear $\omega$-sectorial operator of angle $\theta \in [0,\frac{\pi }{2})$ on a Banach space $X$ for some $\omega \in \mathbb{R}$. We give an explicit representation…