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|Title:||Periodic solutions of discontinuous second order differential systems|
Teixeira, Marco Antonio
|Abstract:||We provide sufficient conditions for the existence of periodic solutions of some classes of autonomous and non-autonomous second order differential equations with discontinuous right-hand sides. In the plane the discontinuities considered are given by the straight lines either x=0, or xy=0. Two applications of these results are made, one to control systems with variable structure, and the other to small external periodic excitation of a discontinuous nonlinear oscillator|
|Editor:||Worldwide Center of Mathematics|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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