In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.
@article{bwmeta1.element.doi-10_2478_s11533-010-0067-7,
author = {Oleg Zubelevich},
title = {A fixed point theorem for affine mappings and its application to elasticity theory},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {1104-1108},
zbl = {1296.47053},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0067-7}
}
Oleg Zubelevich. A fixed point theorem for affine mappings and its application to elasticity theory. Open Mathematics, Tome 8 (2010) pp. 1104-1108. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0067-7/
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