Ssm Differential Equations W/Boundary Value Problems, Zill

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 54820.00 T
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Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Автор: Kythe, Prem K.
Название: Partial differential equations and boundary value problems with Mathematica /
ISBN: 1584883146 ISBN-13(EAN): 9781584883142
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

Автор: Bashir Ahmad, Sotiris K Ntouyas
Название: Nonlocal Nonlinear Fractional-order Boundary Value Problems
ISBN: 9811230404 ISBN-13(EAN): 9789811230400
Издательство: World Scientific Publishing
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Цена: 184800.00 T
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There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral operators provide an excellent instrument for the description of memory and hereditary properties of various materials and processes, which contributed significantly to the popularity of the subject and motivated many researchers and modelers to shift their focus from classical models to fractional order models. Some peculiarities of physical, chemical or other processes happening inside the domain cannot be formulated with the aid of classical boundary conditions. This limitation led to the consideration of nonlocal and integral conditions which relate the boundary values of the unknown function to its values at some interior positions of the domain.

The main objective for writing this book is to present some recent results on single-valued and multi-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi-point, integral, integro-differential boundary conditions. Much of the content of this book contains the recent research published by the authors on the topic.

Автор: R. M. M. Mattheij
Название: Partial Differential Equations
ISBN: 0898715946 ISBN-13(EAN): 9780898715941
Издательство: Mare Nostrum (Eurospan)
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Цена: 142120.00 T
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Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

Автор: Eloe Paul W Et Al
Название: Nonlinear Interpolation And Boundary Value Problems
ISBN: 9814733474 ISBN-13(EAN): 9789814733472
Издательство: World Scientific Publishing
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Цена: 92930.00 T
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Описание: This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

Автор: Alexander Andreevych Boichuk, Anatolii M. Samoilen
Название: Generalized Inverse Operators: And Fredholm Boundary-Value Problems
ISBN: 3110378396 ISBN-13(EAN): 9783110378399
Издательство: Walter de Gruyter
Цена: 161100.00 T
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Описание: The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:Preliminary InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis

Автор: Graef, John R. (univ Of Tennessee At Chattanooga, Usa) Kong, Lingju (the Univ Of Tennessee At Chattanooga, Usa) Liu, Sherry Xueyan (st.jude Children`s
Название: Ordinary differential equations and boundary value problems - volume i: advanced ordinary differential equations
ISBN: 9813236450 ISBN-13(EAN): 9789813236455
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.

The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well.

Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems.

Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs.

Автор: Karl K. Sabelfeld, Nikolai A. Simonov
Название: Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
ISBN: 3110479060 ISBN-13(EAN): 9783110479065
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography

Автор: F. Zanolin
Название: Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations
ISBN: 3211828117 ISBN-13(EAN): 9783211828113
Издательство: Springer
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Цена: 81050.00 T
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Описание: Part of the "CISM International Centre for Mechanical Sciences", this work covers a wide range of research topics in the field of dynamical systems and applications of non-linear analysis to ordinary and partial differential equations.

Автор: Graef John R., Henderson Johnny L., Kong Lingju
Название: Ordinary Differential Equations and Boundary Value Problems - Volume II: Boundary Value Problems
ISBN: 9813274026 ISBN-13(EAN): 9789813274020
Издательство: World Scientific Publishing
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Цена: 95040.00 T
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Описание: The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.While this Volume II complements, it can be used as a stand-alone work.

Автор: Uri M. Ascher, Robert M.M. Mattheij, Robert D. Rus
Название: Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
ISBN: 0898713544 ISBN-13(EAN): 9780898713541
Издательство: Mare Nostrum (Eurospan)
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Цена: 71890.00 T
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Описание: The most comprehensive, up to date account of the popular numerical methods for solving boundary value problems in ODEs.