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Fixed Point Theory and Nonlinear Periodic Systems

Author
Grimmer, Ronald

He, Min

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1465
Abstract
This work is concerned with a nonlinear periodic system, which depends on parameters. We investigate continuity with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the results regarding parameters for C0- semigroups, we obtained some convenient conditions for determining both existence of a unique periodic solution and continuity in parameters of the periodic solution. The results are applied to a nonlinear wave equation with forced and damped boundary conditions.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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