Boundary Value Problems, Weyl Functions, and Differential Operators, Jussi Behrndt; Seppo Hassi; Henk de Snoo

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: Ariel Barton, Svitlana Mayboroda
Название: Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
ISBN: 1470419890 ISBN-13(EAN): 9781470419899
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
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Описание: Presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable $t$-independent coefficients in spaces of fractional smoothness, in Besov and weighted $L^p$ classes. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.

Автор: Alex Amenta, Pascal Auscher
Название: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
ISBN: 1470442507 ISBN-13(EAN): 9781470442507
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

Автор: Li Xing
Название: Integral Equations, Boundary Value Problems and Related Problems
ISBN: 9814452874 ISBN-13(EAN): 9789814452878
Издательство: World Scientific Publishing
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Цена: 121440.00 T
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Описание: In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

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: 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: 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.

Автор: R.P. Agarwal
Название: Focal Boundary Value Problems for Differential and Difference Equations
ISBN: 0792349784 ISBN-13(EAN): 9780792349785
Издательство: Springer
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Цена: 102480.00 T
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Описание: Presents an account of the theory of right focal point boundary value problems for differential and difference equations. This book includes topics such as existence and uniqueness, Picard`s method, quasilinearisation, necessary and sufficient conditions for right disfocality, right and eventual disfocalities, and Green`s functions.

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: Myroslav L. Gorbachuk
Название: Boundary Value Problems for Operator Differential Equations
ISBN: 0792303814 ISBN-13(EAN): 9780792303817
Издательство: Springer
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Цена: 102480.00 T
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Описание: One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense back where it belongs. on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be smse'. Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

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.