We show the existence result of viable solutions to the second-order differential inclusion ẍ(t) ∈ F(t,x(t),ẋ(t)), x(0) = x₀, ẋ(0) = y₀, x(t) ∈ K on [0,T], where K is a closed subset of a separable Banach space E and F(·,·,·) is a closed multifunction, integrably bounded, measurable with respect to the first argument and Lipschitz continuous with respect to the third argument.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1109,
author = {Myelkebir Aitalioubrahim and Said Sajid},
title = {Second-order viability result in Banach spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {30},
year = {2010},
pages = {5-21},
zbl = {1206.34083},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1109}
}
Myelkebir Aitalioubrahim; Said Sajid. Second-order viability result in Banach spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 30 (2010) pp. 5-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1109/
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