Stability and multiplicity of solutions for the thermistor problem |
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| Authors: | Giovanni Cimatti |
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| Affiliation: | (1) Department of Mathematics, Via Buonarroti, 2 – Pisa – Italy, e-mail: cimatti@dm.unipi.it, IT |
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| Abstract: | The stability of the stationary solution of the thermistor as a circuit element is studied using a Liapunov functional and the Hale–LaSalle invariance principle. The asymptotic stability of a class of periodic solutions is also considered. Received: November 22, 1999; in final form: May 23, 2001?Published online: May 29, 2002 |
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| Keywords: | Mathematics Subject Classification (2000). 35J60 35K55 |
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