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Advanced Topics in Difference Equations
ISBN: 9780792345213 / Angielski / Twarda / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. . The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential...
. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to o...
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The Analysis of Solutions of Elliptic Equations
ISBN: 9780792345312 / Angielski / Twarda / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see 291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications....
This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see 291]). There, we considered compl...
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Basic Topological Structures of Ordinary Differential Equations
ISBN: 9780792349518 / Angielski / Twarda / 522 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and...
The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters....
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Logarithms and Antilogarithms: An Algebraic Analysis Approach
ISBN: 9780792349747 / Angielski / Twarda / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Several previously published results are presented. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions.
This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with ...
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Functional Differential Equations: Application of I-Smooth Calculus
ISBN: 9780792356899 / Angielski / Twarda / 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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Introduction to Infinite Dimensional Stochastic Analysis
ISBN: 9780792362081 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy 2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a...
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in ...
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Functional Equations and Inequalities
ISBN: 9780792364849 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition oftrigonometric functions, the functional equation ofthe square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution ofzeros and inequalities for zeros of algebraic polynomials, a qualitative study ofLobachevsky's...
Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and in...
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Differential Inclusions in a Banach Space
ISBN: 9780792366188 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and...
Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the dev...
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Infinite Interval Problems for Differential, Difference and Integral Equations
ISBN: 9780792369615 / Angielski / Twarda / 341 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the...
Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be ...
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Stability of Functional Equations in Several Variables
ISBN: 9780817640248 / Angielski / Twarda / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which...
The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam ...
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Equations with Involutive Operators
ISBN: 9780817641573 / Angielski / Twarda / 427 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Equations with Involutive Operators demonstrates an important interplay between abstract and concrete operator theory. The focus is on the investigation of a number of equations, which, while seemingly different, are all unified by the same idea: they are all realizations of some operator equations in Banach spaces. One permeating theme in these equations involves the role of the Fredholm property. The text is carefully written, self-contained, and covers a broad range of topics and results. Key ideas are developed in a step-by step approach, beginning with required background and historical...
Equations with Involutive Operators demonstrates an important interplay between abstract and concrete operator theory. The focus is on the investigati...
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An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups
ISBN: 9780817643300 / Angielski / Twarda / 174 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was his well-known text The Fourier Integral and Certain of its Applications; another was a paper by G. H. Hardy in the 1933 Journalofthe London Mathematical Society. As Hardy says in the introduction to this paper, This note originates from a remark of Prof. N. Wiener, to the effect that "a f and g = j] cannot both be very small." ... The theo pair of transforms rems which follow give the most precise interpretation possible ofWiener's remark....
In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was hi...
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Convergence Structures and Applications to Functional Analysis
ISBN: 9781402005664 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For many, modern functional analysis dates back to Banach's book Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of complete normed and complete metrizable spaces. When analysts realized the power and applicability of these methods, they sought to generalize the concept of a metric space and to broaden the scope of these theorems. Topological methods had been generally available since the appearance of Hausdorff's book in 1914. So it is surprising that it took so long to recognize that...
For many, modern functional analysis dates back to Banach's book Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theo...
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Foundations of Topology: An Approach to Convenient Topology
ISBN: 9781402008917 / Angielski / Twarda / 303 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures,...
A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform s...
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Distributions with Given Marginals and Statistical Modelling
ISBN: 9781402009143 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the papers presented at the meeting "Distributions with given marginals and statistical modelling," held in Barcelona (Spain), July 17- 20, 2000. This is the fourth meeting on given marginals, showing that this topic has aremarkable interest. BRIEF HISTORY The construction of distributions with given marginals started with the seminal papers by Hoeffding (1940) and Fn chet (1951). Since then, many others have contributed on this topic: Dall' Aglio, Farlie, Gumbel, Johnson, Kellerer, Kotz, Morgenstern, Marshali, Olkin, Strassen, Vitale, Whitt, etc., as weIl as Arnold,...
This volume contains the papers presented at the meeting "Distributions with given marginals and statistical modelling," held in Barcelona (Spain), Ju...
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Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 9781402013850 / Angielski / Twarda / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book reflects a significant part of authors' research activity dur- ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful...
This book reflects a significant part of authors' research activity dur- ing the last ten years. The present monograph is constructed on the results o...
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Factorization, Singular Operators and Related Problems
ISBN: 9781402014079 / Angielski / Twarda / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of th Madeira, Funchal, Portugal, to mark Professor Georgii Litvinchuk's 70 birth day. Experts in a variety of fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of vari ous areas of operator theory. The main themes of the conference were focussed around the theory of singular type operators and...
These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problem...
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Singular Differential and Integral Equations with Applications
ISBN: 9781402014574 / Angielski / Twarda / 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 si...
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Crack Theory and Edge Singularities
ISBN: 9781402015243 / Angielski / Twarda / 485 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config urations of that kind belong to the category of spaces (manifolds) with...
Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena...
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One-Dimensional Functional Equations
ISBN: 9783764300845 / Angielski / Twarda / 207 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, differential equations, probabilities, singularities of smooth mappings, and other areas. The purpose of the book is to present modern methods and new results in the subject, with an emphasis on a connection between local and global solvability. The general concepts developed in the book are applicable to multidimensional functional equations. Some of the methods are presented for the first time in the... The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations... |
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