INTEGRATED RESOLVENT OPERATORS AND NONDENSELY INTEGRODIFFERENTIAL EQUATIONS INVOLVING THE NONLOCAL CONDITIONS

Abstract

The aim of this work is to prove some results of the existence and regularity of solutions for some nondensely integrodifferential equations with nonlocal conditions, where the linear part has an integrated resolvent operator in the sens given by Oka [7].
They extend the results of [4] and [5].
Keywords: Integrated resolvent operator, resolvent operator, integral solution, nonlocal, nondensely, integrodifferential equations.