We consider a nonlinear evolution inclusion driven by an m-accretive operator which generates an equicontinuous nonlinear semigroup of contractions. We establish the existence of extremal integral solutions and we show that they form a dense, -subset of the solution set of the original Cauchy problem. As an application, we obtain “bang-bang”’ type theorems for two nonlinear parabolic distributed parameter control systems.
@article{bwmeta1.element.bwnjournal-article-div15i1n4bwm,
author = {Nikolaos S. Papageorgiou},
title = {On nonlinear, nonconvex evolution inclusions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {15},
year = {1995},
pages = {29-42},
zbl = {0828.34013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div15i1n4bwm}
}
Nikolaos S. Papageorgiou. On nonlinear, nonconvex evolution inclusions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 15 (1995) pp. 29-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div15i1n4bwm/
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