Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity
Electronic journal of differential equations, Tome 2016 (2016)
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
@article{EJDE_2016__2016__a29,
     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},
     year = {2016},
     volume = {2016},
     zbl = {1329.34026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a29/}
}
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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__a29/