Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces

Abstract

In this paper, we study a semilinear differential equations with nonlocal initial conditions in Banach spaces. We derive conditions for $f$, $T(t)$, and $g$ for the existence of mild solutions.

Keywords

• Semilinear differential equation
• nonlocal initial condition
• completely continuous operator.