In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.
@article{bwmeta1.element.bwnjournal-article-div15i2n2bwm,
author = {Stanis\l aw Mig\'orski},
title = {Existence and relaxation results for nonlinear second order evolution inclusions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {15},
year = {1995},
pages = {129-148},
zbl = {0847.34068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div15i2n2bwm}
}
Stanisław Migórski. Existence and relaxation results for nonlinear second order evolution inclusions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 15 (1995) pp. 129-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div15i2n2bwm/
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