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.Ã¿Stationary Oscillations of Elastic Plates studies the latter in the context ofÃ¿stationaryÃ¿vibrations of thin elastic plates. The techniquesÃ¿presented hereÃ¿reduce the complexity of classicalÃ¿ elasticity to a system of two independent variables, modeling problemsÃ¿of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations.
The book isÃ¿intended forÃ¿an audienceÃ¿with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics,Ã¿and for theoretical physicists and mechanical engineersÃ¿whose work involvesÃ¿elastic plates. Graduate students in these fieldsÃ¿can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
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