Stationary Oscillations of Elastic Plates

Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations.Stationary Oscillations of Elastic Plates studies the latter in the context ofstationaryvibrations of thin elastic plates. The techniquespresented herereduce the complexity of classical elasticity to a system of two independent variables, modeling problemsof flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. The book isintended foran audiencewith a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics,and for theoretical physicists and mechanical engineerswhose work involveselastic plates. Graduate students in these fieldscan also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.