Application of Abstract Differential Equations to Some Mechanical Problems

The theory of differential operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. This book gives a systematic treatment of the differential equations with application to partial differential equations obtained from elastostatic problems. In particular, it studies problems which are obtained from asymptotic expansion with two scales. The book approximates and, where possible, expands the solution of problems by elementary solutions. The text is intended for scientists (mathematicians in the field of ordinary and partial differential equations, differential-operator equations; theoretical mechanics; theoretical physicists) and graduate students.