Center manifold and exponentially-bounded solutions of a forced Newtonian system with dissipation.
Page 1
Garcia, Luis, Leiva, Hugo (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Etgen, Garret J., Taylor, Willie E.jun. (1986)
International Journal of Mathematics and Mathematical Sciences
Jozef Džurina (1992)
Mathematica Slovaca
Murty, M.S.N., Anjaneyulu, D., Kumar, G.Suresh (2011)
The Journal of Nonlinear Sciences and its Applications
Wang, Lianwen, Mckee, Rhonda, Usyk, Larysa (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
John R. Graef, Paul W. Spikes (1995)
Czechoslovak Mathematical Journal
Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva (2022)
Applications of Mathematics
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.
Goldstein, Jerome A. (1979)
International Journal of Mathematics and Mathematical Sciences
Kroopnick, A.J. (1987)
International Journal of Mathematics and Mathematical Sciences
Anton Škerlík (1993)
Mathematica Slovaca
Page 1