On Some Qualitative Properties of Mild Solutions of Nonlocal Semilinear Functional Differential Equations

Abstract

In the present paper, we investigate the qualitative properties such as existence, uniqueness and continuous dependence on initial data of mild solutions of first and second order nonlocal semilinear functional differential equations with delay in Banach spaces. Our analysis is based on semigroup theory and modified version of Banach contraction theorem.

Keywords

• and phrases existence
• uniqueness
• functional differential equation
• fixed point
• semigroup theory