Author: Stanley WinklerPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 102
Book Description
The Coexistence Problem for Hill's Equation
Author: Stanley WinklerPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 102
Book Description
Hill's Equation
Author: Wilhelm MagnusPublisher: Courier Corporation
ISBN: 0486150291
Category : Mathematics
Languages : en
Pages : 148
Book Description
This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.
Periodic Differential Equations
Author: F. M. ArscottPublisher: Elsevier
ISBN: 1483164888
Category : Mathematics
Languages : en
Pages : 295
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.
U.S. Government Research Reports
Author: Hill's Equation
Author: Wilhelm MagnusPublisher:
ISBN:
Category : Hill's equation
Languages : en
Pages : 48
Book Description
AFOSR.
Author: United States. Air Force. Office of Scientific ResearchPublisher:
ISBN:
Category : Research
Languages : en
Pages : 1136
Book Description
Canadian Mathematical Bulletin
Author: Applied Mechanics Reviews
Author: Classical Mechanics and Dynamical Systems
Author: Conference Board of the Mathematical SciencesPublisher: CRC Press
ISBN: 9780824715298
Category : Mathematics
Languages : en
Pages : 260
Book Description
Periodic Differential Operators
Author: B. Malcolm BrownPublisher: Springer Science & Business Media
ISBN: 3034805284
Category : Mathematics
Languages : en
Pages : 220
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.