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
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/}
}
TY - JOUR AU - Kamachkin, Alexander M. AU - Potapov, Dmitriy K. AU - Yevstafyeva, Victoria V. TI - Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity JO - Electronic journal of differential equations PY - 2016 VL - 2016 UR - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a29/ LA - en ID - EJDE_2016__2016__a29 ER -
%0 Journal Article %A Kamachkin, Alexander M. %A Potapov, Dmitriy K. %A Yevstafyeva, Victoria V. %T Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity %J Electronic journal of differential equations %D 2016 %V 2016 %U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a29/ %G en %F EJDE_2016__2016__a29
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/