Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

Abstract

In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.

Keywords

• attractivity
• fixed point theorem
• integrodi erential equation
• measures of noncompactness
• mild solution
• resolvent operator
• impulses
• primary 34d23, 34d23
• secondary 47h10, 45j05, 47h08, 35d30, 47b40