Fixed Point Theory and Nonlinear Periodic Systems
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Ronald Grimmer
rgrimmer@math.siu.edu
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Min He
mhe@kent.edu
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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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Published
2009-08-01
How to Cite
[1]
R. Grimmer and M. He, “Fixed Point Theory and Nonlinear Periodic Systems”, CUBO, vol. 11, no. 3, pp. 101–113, Aug. 2009.
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