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Sliding solutions of second‐order differential equations with discontinuous right‐hand side |
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| Authors: | Clayton E L da Silva Paulo R da Silva Alain Jacquemard |
| Institution: | 1. Departamento de Matemática, Instituto de Ciancias Exatas e Naturais, Universidade Federal de Mato Grosso (UFMT), Rondonópolis, MT, Brazil;2. Polsys Team INRIA, LIP6 CNRS Université Pierre et Marie Curie, Paris, France;3. IMB, CNRS Université de Bourgogne, Dijon, France |
| Abstract: | We consider second‐order ordinary differential equations with discontinuous right‐hand side. We analyze the concept of solution of this kind of equations and determine analytical conditions that are satisfied by typical solutions. Moreover, the existence and uniqueness of solutions and sliding solutions are studied. Copyright © 2017 John Wiley & Sons, Ltd. |
| Keywords: | nonsmooth dynamical system differential equation sliding solution Filippov system |