Загальна крайова задача для поздовжніх коливань шарнірно закріпленого стрижня

Abstract

The boundary value problem for the equation of transverse oscillations of a rod under conditions of hinged fastening of its ends and with generally accepted initial conditions was considered. The solutions of a such problem were foundin the case of a rod of constant stiffness by using a concept of quasi derivatives, the modern theory of systems of linear differential equations, the classical Fourier method and a reduction method.