Geodesic
Continuous dependence on parameters and boundedness of solutions to a hysteresis system
Applications of Mathematics, Tome 67 (2022) no. 1, pp. 65-80.

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We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.
DOI : 10.21136/AM.2021.0085-20
Classification : 34C11, 34C25, 34C55, 93C15, 93C73
Keywords: ODE system; hysteresis relay; external disturbance; bounded solution; periodic solution 
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Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V. Continuous dependence on parameters and boundedness of solutions to a hysteresis system. Applications of Mathematics, Tome 67 (2022) no. 1, pp. 65-80. doi : 10.21136/AM.2021.0085-20. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0085-20/

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