TY - JOUR ID - Chudziak2013 LB - Chudziak2013 AU - Chudziak, Jacek AU - Wójcik, Sebastian TI - Periodic solutions in multivariate invariance arguments ST - Periodic solutions in multivariate invariance arguments JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2013 VL - 33 IS - 3 SP - 455 EP - 465 DO - http://dx.doi.org/10.7494/OpMath.2013.33.3.455 UR - http://dx.doi.org/10.7494/OpMath.2013.33.3.455 AB - Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations. KW - multivariate utility function KW - invariance KW - periodic solution KW - additive function KW - exponential function SN - 1232-9274 ER -