Existence of nondensely defined evolution equations with nonlocal conditions

This paper is concerned with the existence for nondensely defined evolution equations with nonlocal conditions. Using the techniques of fixed point theory and approximate solutions, existence results are obtained, for integral solutions, when the nonlocal item is Lipschitz continuous or continuous, respectively. Examples are also given to illustrate our results. (C) 2008 Elsevier Ltd. All rights reserved.