Andrei GiniatoullineÉdgar Alejandro Aguilar Mayorga2026-03-222026-03-222011https://andeanlibrary.org/handle/123456789/63065For three-dimensional exponentially stratied ows we make a review of our previous results and present a new corollary which consist of a detailed analysis for the classes of uniqueness of the solutions of the relevant equation for the limit amplitude of the induced vibrations caused by a periodic external force. Our main result is that for a frequency outside of the spectrum the limit amplitude is unique, while for a frequency belonging to the spectrum the limit amplitude loses the uniqueness.enUniquenessCorollaryLimit (mathematics)AmplitudeMathematicsVibrationMathematical analysisFrequency spectrumSpectrum (functional analysis)Uniqueness theorem for Poisson's equationOn the uniqueness of the limit amplitude for the induced vibrations in stratiarticle