Geodesic
Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity
Electronic Journal of Differential Equations, Tome 2016 (2016).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a second-order differential equation with discontinuous nonlinearity and sinusoidal external influence, and obtain conditions for the non-existence of periodic solutions.
Classification : 34A34, 34A36, 34H05, 93C73
Keywords: non-autonomous differential equation, discontinuous nonlinearity, periodic solution, non-existence of solutions 
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     author = {Kamachkin, Alexander M. and Potapov, Dmitriy K. and Yevstafyeva, Victoria V.},
     title = {Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2016},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a62/}
}
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Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V. Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity. Electronic Journal of Differential Equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a62/