Conditions for the absence of the phenomenon ”beating” for systems of impulse differential equations. (English) Zbl 0578.34026
Summary: For the systems of impulse differential equations the phenomenon ”beating” is possible and the integral curve of the system meets infinitely many times one and the same hypersurface out of the given ones. In the present paper sufficient conditions are supplied for the absence of the phenomenon ”beating”. The formulated conditions can be applied in the qualitative investigation and asymptotic interpretation of impulse systems of differential equations.
MSC:
34C25 | Periodic solutions to ordinary differential equations |
34D20 | Stability of solutions to ordinary differential equations |