A non-standard approach to a constrained forced oscillator

Dalibor Prazak, Kumbakonam R. Rajagopal, Jakub Slavik


A non-autonomous oscillator with unilateral constraint is modelled using the non-standard analysis. Existence and continuous dependence on initial conditions is obtained.

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DOI: http://dx.doi.org/10.4115/jla.2017.9.4

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Journal of Logic and Analysis ISSN:  1759-9008