Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva
Abstract:
We consider a second-order differential equation with discontinuous
nonlinearity and sinusoidal external influence, and obtain conditions
for the non-existence of periodic solutions.
Submitted June 1, 2015. Published January 4, 2016.
Math Subject Classifications: 34A34, 34A36, 34H05, 93C73.
Key Words: Non-autonomous differential equation; discontinuous nonlinearity;
periodic solution; non-existence of solutions.
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Alexander M. Kamachkin Saint Petersburg State University 7-9, University emb. 199034 St. Petersburg, Russia email: a.kamachkin@spbu.ru |
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Dmitriy K. Potapov Saint Petersburg State University 7-9, University emb. 199034 St. Petersburg, Russia email: d.potapov@spbu.ru |
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Victoria V. Yevstafyeva Saint Petersburg State University 7-9, University emb. 199034 St. Petersburg, Russia email: v.evstafieva@spbu.ru |
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