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Author: B. Malcolm Brown
Publisher: Springer Science & Business Media
ISBN: 3034805284
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Author: B. Malcolm Brown
Publisher: Springer Science & Business Media
ISBN: 3034805284
Category : Mathematics
Languages : en
Pages : 220
Get Book Here
Book Description
Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Author: Jukka Saranen
Publisher: Springer Science & Business Media
ISBN: 3662047969
Category : Mathematics
Languages : en
Pages : 461
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Book Description
An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
Author: K. Trimèche
Publisher: CRC Press
ISBN: 9783718648221
Category : Mathematics
Languages : en
Pages : 300
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Book Description
Author: Michael Stephen Patrick Eastham
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 148
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Book Description
Author: F. M. Arscott
Publisher: Elsevier
ISBN: 1483164888
Category : Mathematics
Languages : en
Pages : 295
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Book Description
Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.
Author: A.M. Fink
Publisher: Springer
ISBN: 3540383077
Category : Mathematics
Languages : en
Pages : 345
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Book Description
Author: Drumi Bainov
Publisher: Routledge
ISBN: 1351439103
Category : Mathematics
Languages : en
Pages : 238
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Book Description
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Author: Alessandro Fonda
Publisher: Birkhäuser
ISBN: 3319470906
Category : Mathematics
Languages : en
Pages : 314
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Book Description
This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.
Author: T. A. Burton
Publisher: Courier Corporation
ISBN: 0486150453
Category : Mathematics
Languages : en
Pages : 370
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Book Description
This book's discussion of a broad class of differential equations includes linear differential and integrodifferential equations, fixed-point theory, and the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Author: A.A. Pankov
Publisher: Springer Science & Business Media
ISBN: 9401196826
Category : Mathematics
Languages : en
Pages : 231
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Book Description
~Et moi ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aUe.· human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· sense', The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. lleaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com· puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e1re of this series.
