Monotone Trajectories of Dynamical Systems and Clarke’s Generalized Jacobian

نویسندگان

  • GIOVANNI P. CRESPI
  • MATTEO ROCCA
  • Giovanni P. Crespi
  • Matteo Rocca
چکیده

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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تاریخ انتشار 2006