On the minimal problem in the theory of differential equations of oscillations of an elastic inhomogeneous rod

Abstract

The question of the existence of so-called “fundamental functions” for differential equations of higher orders has been the subject of research in a number of works, but further processing is undoubtedly possible in the sense of applying various methods to its solution. This article represents an attempt to generalize the method of the American geometer Max Mason, which he outlined for 2nd order differential equations, to the case of 4th order differential equations, which, as is known, leads to the question of vibrations of an elastic inhomogeneous rod. Kolganovka August 6-8, 1915.