TY - JOUR TI - An abstract nonlocal functional-differential second order evolution Cauchy problem AU - Bednarz, Adam AU - Byszewski, Ludwik TI - An abstract nonlocal functional-differential second order evolution Cauchy problem AB - 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]. VL - 2018 IS - Volume 4 Year 2018 (115) PY - 2018 SN - 0011-4561 C1 - 2353-737X SP - 139 EP - 147 DO - 10.4467/2353737XCT.18.062.8374 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/an-abstract-nonlocal-functional-differential-second-order-evolution-cauchy-problem KW - nonlocal KW - second order KW - functional-differential KW - evolution Cauchy problem KW - Banach spaces