Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Adam Bednarz,

Ludwik Byszewski

Abstrakt
The aim of the paper is to prove two theorems on the continuous dependence of mild solutions, on initial
nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and
second orders. The paper is based on publications [1–10] and is a generalization of paper [5].
Słowa kluczowe: evolution Cauchy problems, functional-differential problems, first and second order problems, continuous dependence of solutions, nonlocal conditions