%0 Serial %A Szczelina Robert %D 2016 %G English %B Electronic journal of qualitative theory of differential equations : special edition %@ 1417-3875 %T A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation %U http://acta.bibl.u-szeged.hu/73750/1/ejqtde_spec_002_2016_083.pdf %X We present an application of a recently developed algorithm for rigorous integration forward in time of delay differential equations (DDEs) to a computer assisted proof of the existence of several periodic orbits in a DDE obtained by a singular perturbation limit method from the classical logistic map. The proofs are done near the parameter value for which multistability was numerically observed.