TY - JOUR TI - Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal evolution Cauchy problems AU - Byszewski, Ludwik AU - Winiarska, Teresa TI - Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal evolution Cauchy problems AB - The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal Cauchy problems. For this purpose, the method of semigroups and the theory of cosine family in Banach spaces are applied. The paper is based on publications [1–5]. VL - 2013 IS - Fundamental Sciences Issue 1 NP (4) 2013 PY - 2013 SN - 0011-4561 C1 - 2353-737X SP - 27 EP - 32 DO - 10.4467/2353737XCT.14.030.2613 UR - https://ejournals.eu/en/journal/czasopismo-techniczne/article/continuous-dependence-of-mild-solutions-on-initial-nonlocal-data-of-the-nonlocal-evolution-cauchy-problems KW - evolution Cauchy problems KW - continuous dependence of solutions KW - nonlocal conditions