LINEAR DIFFERENTIAL OPERATORS

This basic and characteristic properties of linear differential operators are the focus of this graduate-level test. Unlike standard treatments of the topic, this book explores hitherto neglected issues by stressing ideas and concepts and their interrelations, rather than mere manipulation of formulae.

Major topics include interpolation, harmonic analysis, matrix calculus, function space, Green’s function and communication problems, Sturm-Liouville problems, boundary value problems and the numerical solution of trajectory problems.

Although the book is written on an advanced level, no specific knowledge beyond the usual introductory courses is required because the necessary tools are developed as the discussion proceeds. Some 350 problems and their solutions are included in the test, encouraging students to develop a sense of the peculiarities of differential equations and enabling them to attempt more specialized and technically more involved problems.