differential equation

Stochastic Partial Differential Equations and Applications【電子書籍】PARTIAL DIFFERENTIAL EQUATIONS FOR SCIEN STANLEY J. FARLOWA Field Guide to Solving Ordinary Differential Equations【電子書籍】 John CramerIntroduction to Partial Differential Equations From Fourier Series to Boundary-Value Problems【電子書籍】 Arne BromanSequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations【電子書籍】 J zef BanaElgenfunction Expansions Associated with Second Order Differential Equations【電子書籍】 E. C. TitchmarshApplied Partial Differential Equations【電子書籍】 Paul DuChateauYosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications【電子書籍】 T. E. GovindanApplied Stochastic Differential Equations【電子書籍】 Simo S rkkNonlinear Differential Equations【電子書籍】 Raimond A. StrubleNonlinear Elliptic Partial Differential Equations An Introduction【電子書籍】 Herv Le DretHarmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1) Celebrating Cora Sadosky 039 s life【電子書籍】Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations【電子書籍】 Leonid BerezanskyNeurology Equations Made Simple Differential Diagnosis and Neuroemergencies【電子書籍】 Dr. Nadeem AkhtarA Short Course in Ordinary Differential Equations【電子書籍】 Qingkai KongHarmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) Celebrating Cora Sadosky 039 s Life【電子書籍】Stochastic Differential Equations, Backward SDEs, Partial Differential Equations【電子書籍】 Etienne PardouxExercises of Partial Differential Equations【電子書籍】 Simone MalacridaPseudo-Differential Equations And Stochastics Over Non-Archimedean Fields【電子書籍】 Anatoly KochubeiDistributions, Partial Differential Equations, and Harmonic Analysis【電子書籍】 Dorina Mitrea
 

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  • <p>Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field.</p> <p>Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing.</p> <p>With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicis...
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  • STANLEY J. FARLOW DOVER PUBLICATIONS INC (USA).1993 English アメリカ合衆国 ISBN:9780486676203 洋書 Computers & Science(コンピューター&科学) Mathematics
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  • <p>Ordinary differential equations come in an almost bewildering variety. This field guide systematizes them and gives general methods for solving each type. Since there are numerous specific examples, some even with specific names, for which simpler methods are known, the guide also enumerates these too along with the secondary and tertiary methods for solving them.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This exceptionally well-written and well-organized text is the outgrowth of a course given every year for 45 years at the Chalmers University of Technology, Goteborg, Sweden. The object of the course was to give students a basic knowledge of Fourier analysis and certain of its applications. The text is self-contained with respect to such analysis; however, in areas where the author relies on results from branches of mathematics outside the scope of this book, references to widely used books are given.<br /> Table of Contents:<br /> Chapter 1. Fourier series<br /> 1.1 Basic concepts<br /> 1.2 Fourier series and Fourier coefficients<br /> 1.3 A minimizing property of the Fourier coefficients. The Riemann-Lebesgue theorem<br /> 1.4 Convergence of Fourier series<br /> 1.5 The Parseval formula<br /> 1.6 Determination of the sum of certain trigonometric series<br /> Chapter 2. Orthogonal systems<br /> 2.1 Integration of complex-valued functions of a real variable...
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  • <p>This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators.</p> <p>The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are ...
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  • <p>The idea of expanding an arbitrary function in terms of the solutions of a second-order differential equation goes back to the time of Sturm and Liouville, more than a hundred years ago. The first satisfactory proofs were constructed by various authors early in the twentieth century. Later, a general theory of the singular cases was given by Weyl, who-based i on the theory of integral equations. An alternative method, proceeding via the general theory of linear operators in Hilbert space, is to be found in the treatise by Stone on this subject. Here I have adopted still another method. Proofs of these expansions by means of contour integration and the calculus of residues were given by Cauchy, and this method has been used by several authors in the ordinary Sturm-Liouville case. It is applied here to the general singular case. It is thus possible to avoid both the theory of integral equations and the general theory of linear operators, though of course we are sometimes doing no...
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  • <p>Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.</p> <p>The book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then...
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  • <p>Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies such as filtering, smoothing, parameter estimation, and machine learning. It builds an intuitive hands-on understanding of what stochastic differential equations are all about, but also covers the essentials of It? calculus, the central theorems in the field, and such approximation schemes as stochastic Runge?Kutta. Greater emphasis is given to solution methods than to analysis of theoretical properties of the equations. The book's practical approach assumes only prior understanding of ordinary differential equations. The numerous worked examples and end-of-chapter exercises include appl...
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  • <p>This concise and widely referenced monograph has served as a text for generations of advanced undergraduate math majors and graduate students. Prepared with an eye toward the needs of applied mathematicians, engineers, and physicists, the treatment is equally valuable as a reference for professionals.<br /> After discussing some mathematical preliminaries, author Raimond A. Struble presents detailed treatments of the existence and the uniqueness of a solution of the initial-value problem, properties of solutions, properties of linear systems, stability in nonlinear systems, and two-dimensional systems. Additional chapters examine perturbations of periodic solutions and a general asymptotic method. Numerous exercises appear throughout the book, along with examples that contribute additional material, illustrate theorems and concepts, and provide a link with more practical aspects of the theory.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページ...
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  • <p>This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.</p> <p>After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.</p> <p>Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering.</p> <p>The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of...
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  • <p>Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade.</p> <p>Features:</p> <ul> <li></li> <li></li> <li>Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other**.**</li> <li></li> <li></li> <li>The first systematic description of stability methods based on the Bohl-Perron theorem**.**</li> <li></li> <li></li> <li>S...
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  • <p>There are lots of books available in the market that do not necessarily simplify the challenging concepts of Neurological disorders and in a reader-friendly and simplified manner. During a busy hospital working environment or during a stressful outpatient clinic session, physicians are looking for quick and concise answers. They want to be efficient, quick, and safe. With the help of the content and format of this book, they will find a reader-friendly book in their pockets.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincar?ーBendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and SturmーLiouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable f...
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  • <p>This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included.</p> <p>The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on severalspecial sections of the Western Spring Sectional Meet...
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  • <p>This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends those results to equations with multivalued coefficients. The authors present in particular the theory of reflected SDEs in the above mentioned framework and include exercises at the end of each chapter.</p> <p>Stochastic calculus and stochastic differential equations (SDEs) were first introduced by K. It? in the 1940s, in order to construct the path of diffusion processes (which are continuous time Markov processes with continuous trajectories taking their values in a finite dimensional vector space or manifold), which had been studied from a more analytic point of view by Kolmogoro...
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  • <p>In this book, exercises are carried out regarding the following mathematical topics:<br /> solving first-order partial-derivative differential equations<br /> solving second-order partial derivative differential equations: elliptic, parabolic and hyperbolic<br /> weak problem formulation<br /> Initial theoretical hints are also presented to make the conduct of the exercises understandable.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-stu...
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