Поєднання методу функцій Гріна з технікою конформних відображень для дослідження вібраційного спектру двомірних систем

Abstract

It is well-known fact that Green function’s method represents one of the most powerful means to treat the eugen-values problem related to the vibrational system with various geometries including bidimensional one. Concerning the last case conformal mapping approach can be promising enough because it allows to reduce some complicated boundary contour to one of the canonical forms. However, the conformal mapping makes its impact over corresponding wave equation. That is why we try to conjugate the Green function’s method with the conformal transformations technique in this work