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Sliding solutions of second‐order differential equations with discontinuous right‐hand side
Author(s) -
da Silva Clayton E. L.,
da Silva Paulo R.,
Jacquemard Alain
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4387
Subject(s) - mathematics , uniqueness , order (exchange) , ordinary differential equation , mathematical analysis , differential equation , finance , economics
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.