Periodic viable trajectories of differential inclusions |
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Authors: | Wang Zhihua |
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Institution: | Institute of Finance, Shangdong Electric Power College, Jinan 250002, P. R. China |
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Abstract: | In this paper, the periodic viable trajectories of differential inclusions are discussed. Firstly, a simplified property of
differential inclusions is given. Then, an existence theorem of periodic viable trajectories of differential inclusions in
a finite dimensional space is proved. With the above results and Galerkin’s approximation, an existence theorem of periodic
viable trajectories of partial differential inclusions in a Hilbert space is proved. |
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Keywords: | differential inclusion contingent cone viable trajectory Galerkin approximation |
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