TY - JOUR ID - Byszewski2012 LB - Byszewski2012 AU - Byszewski, Ludwik AU - Winiarska, Teresa TI - An abstract nonlocal second order evolution problem ST - An abstract nonlocal second order evolution problem JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2012 VL - 32 IS - 1 SP - 75 EP - 82 DO - http://dx.doi.org/10.7494/OpMath.2012.32.1.75 UR - http://dx.doi.org/10.7494/OpMath.2012.32.1.75 AB - The aim of the paper is to prove theorems on the existence and uniqueness of mild and classical solutions of a semilinear evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. KW - nonlocal KW - second order KW - evolution problem KW - Banach space SN - 1232-9274 ER -