Characteristics of distributed-parameter systems : handbook of equations of mathematical physics and distributed-parameter systems
著者
書誌事項
Characteristics of distributed-parameter systems : handbook of equations of mathematical physics and distributed-parameter systems
（Mathematics and its applications, v. 266）
Kluwer Academic Publishers, c1993
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注記
Continues: Green's functions and transfer functions handbook. 1982
Includes bibliographical references (p. 373-383) and index
内容説明・目次
内容説明
This volume is a handbook which contains data dealing with the characteristics of systems with distributed and lumped parameters. Some 200 problems are discussed and, for each problem, all the main characteristics of the solution are listed: standardizing 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, the handbook also includes degenerate multiconnected systems. The volume makes it easier to compare a large number of systems with distributed parameters. It also points the way to 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. The work should be useful for researchers whose work involves processes in continuous media, various kinds of field phenomena, problems of mathematical physics, and the control of distributed-parameter systems.
目次
Principal notations. Definitions. The system of classification of problems. Characteristics of distributed by individual equations. Characteristics of interconnected distributed systems. On the practice of finding characteristics of distributed systems. Appendix: Tables of characteristic values.
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