Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity
Date
2016-01-04
Authors
Kamachkin, Alexander
Potapov, Dmitriy
Yevstafyeva, Victoria
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Non-autonomous differential equation, Discontinuous nonlinearity, Periodic solution, Non-existence of solutions
Citation
Kamachkin, A. M., Potapov, D. K., & Yevstafyeva, V. V. (2016). Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity. <i>Electronic Journal of Differential Equations, 2016</i>(04), pp. 1-8.