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Volume 6, Issue 5, Article 142 |
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Monotone Trajectories of Dynamical Systems and Clarke's Generalized Jacobian
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Authors: |
Giovanni P. Crespi, Matteo Rocca, |
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Keywords:
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Dynamical Systems, Monotone Trajectories, Generalized Jacobian, Variational Inequalities. |
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Date Received:
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01/04/05 |
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Date Accepted:
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16/01/06 |
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Subject Codes: |
26D10, 49J40, 49K40.
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Editors: |
Alexander M. Rubinov (1940-2006), |
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Abstract: |
We generalize some results due to Pappalardo and Passacantando [10]. We prove necessary and sufficient conditions for the monotonicity of a trajectory of an autonomous dynamical system with locally Lipschitz data, by means of Clarke's generalized Jacobian. Some of the results are developed in the framework of variational inequalities.
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