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Bifurcations and Periodic Orbits of Vector Fields
ISBN: 9789048143030 / Angielski / Miękka / 474 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields." This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and...
The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same ...
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cena:
1207,67 |
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Differential Equations on Complex Manifolds
ISBN: 9789048143689 / Angielski / Miękka / 508 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains a unique, systematic presentation of the general theory of differential equations on complex manifolds. The six chapters deal with questions concerning qualitative (asymptotic) theory of partial differential equations as well as questions about the existence of solutions in spaces of ramifying functions. Furthermore, much attention is given to applications. In particular, important problems connected with the continuation of (real) solutions to differential equations and with mathematical theory of diffraction are solved here. The book is self-contained, and includes...
This volume contains a unique, systematic presentation of the general theory of differential equations on complex manifolds. The six chapters deal wit...
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cena:
402,53 |
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Nonlinear Mechanics, Groups and Symmetry
ISBN: 9789048145171 / Angielski / Miękka / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincare--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems....
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Vario...
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cena:
805,10 |
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Dynamic Impulse Systems: Theory and Applications
ISBN: 9789048147908 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco momics and biology, have an irregular structure: classical variational proce dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character. This and other well-known facts lead to the necessity for constructing dynamical models using the concept of a gener alized function (Schwartz distribution). The problem ofthe systematization of such models is very important. In particular, the problem of the...
A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco momi...
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cena:
402,53 |
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert’s Fifth Problem
ISBN: 9789048150939 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions. The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings....
This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new met...
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cena:
402,53 |
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Positive Solutions of Differential, Difference and Integral Equations
ISBN: 9789048151530 / Angielski / Miękka / 418 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject.
Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations. In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years...
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cena:
603,81 |
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Functional Differential Operators and Equations
ISBN: 9789048151837 / Angielski / Miękka / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with linear functional differential equations and operator theory methods for their investigation.
The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L; the properties of Green's function; the independence of the stability of an... This book deals with linear functional differential equations and operator theory methods for their investigation.
The main topics are: the equi... |
cena:
925,87 |
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Functional Differential Equations: Application of I-Smooth Calculus
ISBN: 9789048152117 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Beginning with the works of N.N.Krasovskii 81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the ory. The term functional differential equations (FDE) is used as a syn onym for systems with delays 1. The systematic presentation of these re sults and further...
Beginning with the works of N.N.Krasovskii 81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provid...
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cena:
402,53 |
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Boundary Value Problems in the Spaces of Distributions
ISBN: 9789048153435 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph presents elliptic, parabolic and hyperbolic boundary value problems for systems of mixed orders (Douglis-Nirenberg systems). For these problems the theorem on complete collection of isomorphisms' is proven. Several applications in elasticity and hydrodynamics are treated. The book requires familiarity with the elements of functional analysis, the theory of partial differential equations, and the theory of generalized functions. Audience: This work will be of interest to graduate students and research mathematicians involved in areas such as functional analysis, partial...
This monograph presents elliptic, parabolic and hyperbolic boundary value problems for systems of mixed orders (Douglis-Nirenberg systems). For these ...
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cena:
201,24 |
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Simple Theories
ISBN: 9789048154173 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and...
Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields...
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cena:
201,24 |
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Oscillation Theory for Difference and Functional Differential Equations
ISBN: 9789048154470 / Angielski / Miękka / 338 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations. In fact, in the last 25 years Oscillation Theory of difference and functional differential equations has attracted many researchers. This has resulted in hundreds of research papers in every major mathematical journal, and several books. In the first chapter of this monograph, we address oscillation of solutions to difference equations of various types. Here we also offer several new fundamental concepts such as oscillation around a point,...
This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations. In f...
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cena:
402,53 |
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Asymptotic Methods for Ordinary Differential Equations
ISBN: 9789048155002 / Angielski / Miękka / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. The well-known types of equations, such as the regularly perturbed Cauchy problem and the Tikhonov problem, are dealt with, but new ones are also treated, such as the quasiregular Cauchy problem, and the Cauchy problem with double singularity. For each type of problem, series are constructed which generalise the well-known series of Poincare and Vasilyeva-Imanaliyev. It is shown that these series are...
This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been ext...
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cena:
402,53 |
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Wave Factorization of Elliptic Symbols: Theory and Applications: Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains
ISBN: 9789048155453 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudodifferential) equations and their boundary problems in non-smooth domains. This approach is based on a special representation of symbols of elliptic operators called wave factorization. In canonical domains, for example, the angle on a plane or a wedge in space, this yields a general solution, and then leads to the statement of a boundary problem. Wave factorization has also been used to obtain explicit formulas for solving some problems in diffraction and... This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudodifferential) equa... |
cena:
201,24 |
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Differential Inclusions in a Banach Space
ISBN: 9789048155804 / Angielski / Miękka / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to the development of a unified approach for studying differential inclusions in a Banach space with non-convex right-hand side, a new branch of the classical theory of ordinary differential equations. Differential inclusions are now a mature field of mathematical activity, with their own methods, techniques, and applications, which range from economics to physics and biology. The current approach relies on ideas and methods from modern functional analysis, general topology, the theory of multifunctions, and continuous selectors. Audience: This volume will be of...
This monograph is devoted to the development of a unified approach for studying differential inclusions in a Banach space with non-convex right-hand s...
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cena:
402,53 |
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Asymptotics of Linear Differential Equations
ISBN: 9789048157730 / Angielski / Miękka / 441 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is replaced by another known function ( named the asymptotic function) close (in a sense) to the function under consideration. Many problems of mathematics, physics, and other divisions of natural sci ence bring out the necessity of solving such problems. At the present time asymptotic theory has become an important and independent branch of mathematical analysis. The present consideration is mainly based on the theory of asymp totic spaces. Each...
The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is repl...
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cena:
201,24 |
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Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations
ISBN: 9789048160952 / Angielski / Miękka / 672 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest. This book will stimulate further research into oscillation theory. This book is written at a graduate level, and is intended for university libraries, graduate students, and researchers working in the field of ordinary differential equations. In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear,... |
cena:
201,24 |
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Difference Schemes with Operator Factors
ISBN: 9789048161188 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di...
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect...
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cena:
402,53 |
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Nonlinear Functional Evolutions in Banach Spaces
ISBN: 9789048162048 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models. Some of them can be formulated as nonlinear functional evolutions in infinite-dimensional abstract spaces. Since Webb (1976) considered autonomous nonlinear functional evo lutions in infinite-dimensional real Hilbert spaces, many nonlinear an alysts have studied for the last nearly three decades autonomous non linear functional evolutions, non-autonomous nonlinear functional evo lutions and quasi-nonlinear functional evolutions...
There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and...
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cena:
523,30 |
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Singular Differential and Integral Equations with Applications
ISBN: 9789048163564 / Angielski / Miękka / 402 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis tence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples...
In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many sit...
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cena:
402,53 |
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Crack Theory and Edge Singularities
ISBN: 9789048163847 / Angielski / Miękka / 485 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the behaviour of solutions (regularity in weighted spaces, asymptotics) are analysed by means of parametrices obtained by inverting corresponding scalar and operator-valued symbols. Compared with other expositions in the field of crack theory and analysis on configurations with singularities the present book systematically develops for the first time an approach in terms of algebras of (pseudo-differential) boundary value problems. The calculus is...
The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the b...
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cena:
402,53 |