Periodic solutions for quasilinear vector differential equations with maximal monotone terms
Nikolaos C. Kourogenis; Nikolaos S. Papageorgiou
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1997)
- Volume: 17, Issue: 1-2, page 67-81
- ISSN: 1509-9407
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topNikolaos C. Kourogenis, and Nikolaos S. Papageorgiou. "Periodic solutions for quasilinear vector differential equations with maximal monotone terms." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 17.1-2 (1997): 67-81. <http://eudml.org/doc/275847>.
@article{NikolaosC1997,
abstract = {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.},
author = {Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Maximal monotone operator; coercive operator; surjective operator; demiclosed graph; Yosida approximation; compact operator; Leray-Schauder principle; fixed point; demicontinuous operator; quasilinear vector differential equations; maximal monotone operator; nonlinear monotone operators},
language = {eng},
number = {1-2},
pages = {67-81},
title = {Periodic solutions for quasilinear vector differential equations with maximal monotone terms},
url = {http://eudml.org/doc/275847},
volume = {17},
year = {1997},
}
TY - JOUR
AU - Nikolaos C. Kourogenis
AU - Nikolaos S. Papageorgiou
TI - Periodic solutions for quasilinear vector differential equations with maximal monotone terms
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1997
VL - 17
IS - 1-2
SP - 67
EP - 81
AB - 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.
LA - eng
KW - Maximal monotone operator; coercive operator; surjective operator; demiclosed graph; Yosida approximation; compact operator; Leray-Schauder principle; fixed point; demicontinuous operator; quasilinear vector differential equations; maximal monotone operator; nonlinear monotone operators
UR - http://eudml.org/doc/275847
ER -
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