Rita de Cassia D. S. Broche, L. Augusto F. de Oliveira,
& Antonio L. Pereira
Abstract:
In this work we show that the system considered by
Guidotti and Merino in [2] as a model for a
thermostat has a global attractor and, assuming that
the parameter is small enough, the origin is globally
asymptotically stable.
Submitted August 1, 2003. Published September 26, 2003.
Math Subject Classifications: 35B40, 35K60.
Key Words: Nonlocal boundary conditions, parabolic equations, attractors.
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Rita de Cassia D. S. Broche Instituto de Matematica e Estatistica Universidade de Sao Paulo Sao Paulo, SP 05508-900, Brazil e-mail: ritac@ime.usp.br | |
Luiz Augusto F. de Oliveira Instituto de Matematica e Estatistica Universidade de Sao Paulo Sao Paulo, SP 05508-900, Brazil e-mail: luizaug@ime.usp.br | |
Antonio L. Pereira Instituto de Matematica e Estatistica Universidade de Sao Paulo Sao Paulo, SP 05508-900, Brazil e-mail: alpereir@ime.usp.br |
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