Eigenfunction Expansions Associated With Second Order Differential Equations Part Ii

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Eigenfunction Expansions Associated With Second Order Differential Equations

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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1962

Eigenfunction Expansions Associated With Second Order Differential Equations written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Boundary value problems categories.

Eigenfunction Expansions Associated With Second Order Differential Equations Part Ii

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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1958

Eigenfunction Expansions Associated With Second Order Differential Equations Part Ii written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.

Spectral Theory And Asymptotics Of Differential Equations

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Author :
language : en
Publisher: Elsevier
Release Date : 2011-09-21

Spectral Theory And Asymptotics Of Differential Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-21 with Mathematics categories.

Spectral Theory and Asymptotics of Differential Equations

Continuum Thermodynamics Part Ii Applications And Examples

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Author : Krzysztof Wilmanski
language : en
Publisher: World Scientific
Release Date : 2014-11-12

Continuum Thermodynamics Part Ii Applications And Examples written by Krzysztof Wilmanski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Science categories.

This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

The Deficiency Index Problem For Powers Of Ordinary Differential Expressions

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Author : Robert M. Kauffman
language : en
Publisher: Springer
Release Date : 2006-11-15

The Deficiency Index Problem For Powers Of Ordinary Differential Expressions written by Robert M. Kauffman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Differential Equations Asymptotic Theory In Mathematical Physics

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Author : Zhen Hua
language : en
Publisher: World Scientific
Release Date : 2004

Differential Equations Asymptotic Theory In Mathematical Physics written by Zhen Hua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Mathematical Modeling In Optical Science

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Author : Gang Bao
language : en
Publisher: SIAM
Release Date : 2001-01-01

Mathematical Modeling In Optical Science written by Gang Bao and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Science categories.

This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

Electronic States In Crystals Of Finite Size

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Author : Shang Yuan Ren
language : en
Publisher: Springer
Release Date : 2017-08-31

Electronic States In Crystals Of Finite Size written by Shang Yuan Ren and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-31 with Science categories.

This book presents an analytical theory of the electronic states in ideal low dimensional systems and finite crystals based on a differential equation theory approach. It provides precise and fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals, and offers new insights into some of the basic problems in low-dimensional systems, such as the surface states and quantum confinement effects, etc., some of which are quite different from what is traditionally believed in the solid state physics community. Many previous predictions have been confirmed in subsequent investigations by other authors on various relevant problems. In this new edition, the theory is further extended to one-dimensional photonic crystals and phononic crystals, and a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals is developed. In addition, there are various revisions and improvements, including using the Kronig-Penney model to illustrate the analytical theory and make it easier to understand. This book is a valuable resource for solid-state physicists and material scientists.

Non Self Adjoint Schr Dinger Operator With A Periodic Potential

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Author : Oktay Veliev
language : en
Publisher: Springer Nature
Release Date : 2021-06-19

Non Self Adjoint Schr Dinger Operator With A Periodic Potential written by Oktay Veliev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-19 with Science categories.

This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger operator, the book features a complete spectral analysis of the Mathieu-Schrödinger operator and the Schrödinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem for non-self-adjoint operators; the approaches in this book thus open up new possibilities for spectral analysis of some of the most important operators used in non-Hermitian quantum mechanics and optics. Featuring detailed proofs and a comprehensive treatment of the subject matter, the book is ideally suited for graduate students at the intersection of physics and mathematics.

Integral And Discrete Inequalities And Their Applications

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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2016-10-06

Integral And Discrete Inequalities And Their Applications written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-06 with Mathematics categories.

This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.