In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1084,
author = {S.K. Ntouyas and D. O'Regan},
title = {Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {27},
year = {2007},
pages = {213-264},
zbl = {1149.34052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1084}
}
S.K. Ntouyas; D. O'Regan. Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 27 (2007) pp. 213-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1084/
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