%0 Journal Article %T An abstract nonlocal functional-differential second order evolution Cauchy problem %A Bednarz, Adam %A Byszewski, Ludwik %J Czasopismo Techniczne %V 2018 %R 10.4467/2353737XCT.18.062.8374 %N Volume 4 Year 2018 (115) %P 139-147 %K nonlocal, second order, functional-differential, evolution Cauchy problem, Banach spaces %@ 0011-4561 %D 2018 %U https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/an-abstract-nonlocal-functional-differential-second-order-evolution-cauchy-problem %X The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution second order equation together with nonlocal initial conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–12] and is a generalization of paper [7].