We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
@article{bwmeta1.element.bwnjournal-article-div17i1-2n5bwm,
author = {Nikolaos C. Kourogenis and Nikolaos S. Papageorgiou},
title = {Periodic solutions for quasilinear vector differential equations with maximal monotone terms},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {17},
year = {1997},
pages = {67-81},
zbl = {0905.34037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div17i1-2n5bwm}
}
Nikolaos C. Kourogenis; Nikolaos S. Papageorgiou. Periodic solutions for quasilinear vector differential equations with maximal monotone terms. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 17 (1997) pp. 67-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div17i1-2n5bwm/
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