Regularity for semilinear nonlocal problems with boundary input maps

In this paper, we establish the well-posedness of solutions and regularity properties for the boundary control systems with nonlocal conditions with the aid of an intermediate property and the contraction mapping principle. A numerical example illustrating our equivalence results is given.

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Bibliographic Details
Published in:Journal of dynamical and control systems 2009-04, Vol.15 (2), p.247-261
Main Authors: Park, Dong-Gun, Jeong, Jin-Mun, Kim, Han-Geul
Format: Article
Language:English
Subjects:
Boundaries
Boundary control
Calculus of Variations and Optimal Control
Optimization
Control
Control systems
Dynamical Systems
Dynamical Systems and Ergodic Theory
Dynamics
Mathematical models
Mathematics
Mathematics and Statistics
Regularity
Systems Theory
Vibration
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Description
Summary:In this paper, we establish the well-posedness of solutions and regularity properties for the boundary control systems with nonlocal conditions with the aid of an intermediate property and the contraction mapping principle. A numerical example illustrating our equivalence results is given.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-009-9062-3