Titlebook: Dynamics of Vibro-Impact Systems; Proceedings of the E V. I. Babitsky Conference proceedings 1999 Springer-Verlag Berlin Heidelberg 1999 ch

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On the calculation of resonance oscillations of the vibro-impact systems by the averaging techniquebased on use of outcomes [3], this technique based on use some results given in [4]. The small periodic perturbations by time of conservative vibro-impact systems with one degree of freedom are considered. The theorems of existence and stability the periodic solutions are proved.

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https://doi.org/10.1007/978-1-349-18122-3ons are discontinuous, the solution curves are continuous (non-differentiable in general). Many results on dynamics of such systems were obtained by numerous authors (see [1] for review and references). The second kind is constituted with the systems which have discontinuous solution curves. These b

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