This volume is intended to serve as a handbook which contains data dealing with the characteristics of systems with distributed and lumped parameters. Some two hundred problems are discussed and, for each problem, all the main characteristics of the solution are listed: standardising functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and others. In addition to systems described by a single differential equation, this volume also includes degenerate multiconnected systems.
The purpose of this volume is to make it easier to compare a large number of systems with distributed parameters. It also is intended to point the way for the solution of problems in the structural theory of distributed-parameter systems.
The book contains three major chapters. Chapter 1 deals with special descriptions combining concrete and general features of distributed parameter systems of selected integro-differential equations. Also presented are the characteristics of simple quantum mechanical systems, and data for other systems. Chapter 2 presents the characteristics of systems of differential or integral equations. Several different multiconnected systems are presented. Chapter 3 describes practical prescriptions for finding and understanding the characteristics of various classes of distributed systems.
Audience: Researchers whose work involves processes in continuous media, various kinds of field phenomena, problems of mathematical physics, and the control of distributed-parameter systems.
