Non-Self-Adjoint Boundary Eigenvalue Problems PDF Download
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Author: R. Mennicken
Publisher: Gulf Professional Publishing
ISBN: 9780444514479
Category : Mathematics
Languages : en
Pages : 536
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Book Description
The 'North-Holland Mathematics Studies' series comprises a set of cutting-edge monographs and studies. This volume explores non-self-adjoint boundary eigenvalue problems for first order systems of ordinary differential equations and n-th order scalar differential equations.
Author: R. Mennicken
Publisher: Gulf Professional Publishing
ISBN: 9780444514479
Category : Mathematics
Languages : en
Pages : 536
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Book Description
The 'North-Holland Mathematics Studies' series comprises a set of cutting-edge monographs and studies. This volume explores non-self-adjoint boundary eigenvalue problems for first order systems of ordinary differential equations and n-th order scalar differential equations.
Author: Christiane Tretter
Publisher: Wiley-VCH
ISBN:
Category : Mathematics
Languages : en
Pages : 136
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Book Description
This book discusses nonselfadjoint (Lambda)-nonlinear boundary eigenvalue problems for ordinary differential equations. Asymptotic boundary conditions for uniform convergence of generalized eigenfunction expansions are given by a recursion and expansion theorems are established by a careful analytic study of the asymptotic behaviour of Green's function. The theory is illustrated by various examples from technical mechanics.
Author: ENGELI
Publisher: Birkhäuser
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 116
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Book Description
Author: Xuefeng Liu
Publisher: Springer Nature
ISBN: 9819735777
Category :
Languages : en
Pages : 139
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Book Description
Author: John E. Osborn
Publisher:
ISBN:
Category : Differential operators
Languages : en
Pages : 196
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Book Description
Author: Oleg N. Kirillov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110655403
Category : Science
Languages : en
Pages : 548
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Book Description
This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
![The Eigenvalue Problem for a Non-self-adjoint Differential Operator on the Interval [pi] PDF](https://books.google.com/books/content/images/frontcover/pB2nNwAACAAJ?fife=w80-h100)
Author: Robert Richard Dingle Kemp
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Author: Manfred Möller
Publisher: Birkhäuser
ISBN: 3319170708
Category : Mathematics
Languages : en
Pages : 418
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Book Description
The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depending on the spectral parameter, are represented by operator polynomials that are quadratic in the eigenvalue parameter and whose coefficients are self-adjoint operators. The spectra of such operator polynomials are in general no more real, but still exhibit certain patterns. The distribution of these spectra is the main focus of the present volume. For some classes of quadratic operator polynomials, inverse problems are also considered. The connection between the spectra of such quadratic operator polynomials and generalized Hermite-Biehler functions is discussed in detail. Many applications are thoroughly investigated, such as the Regge problem and damped vibrations of smooth strings, Stieltjes strings, beams, star graphs of strings and quantum graphs. Some chapters summarize advanced background material, which is supplemented with detailed proofs. With regard to the reader’s background knowledge, only the basic properties of operators in Hilbert spaces and well-known results from complex analysis are assumed.
Author: Fedor S. Rofe-Beketov
Publisher: World Scientific
ISBN: 9812562761
Category : Science
Languages : en
Pages : 463
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Book Description
- Detailed bibliographical comments and some open questions are given after each chapter - Indicates connections between the content of the book and many other topics in mathematics and physics - Open questions are formulated and commented with the intention to attract attention of young mathematicians
Author: Leonid D. Akulenko
Publisher: CRC Press
ISBN: 020340128X
Category : Science
Languages : en
Pages : 261
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Book Description
This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high
