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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
ISBN: 9780792322863 / Angielski / Twarda / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order...
Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the...
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201,24 |
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A Course on Nonlinear Waves
ISBN: 9780792322924 / Angielski / Twarda / 327 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to give a self-contained introduction to the mathe matical analysis and physical explanations of some basic nonlinear wave phe nomena. This volume grew out of lecture notes for graduate courf; es which I gave at the University of Alberta, the University of Saskatchewan, .and Texas A&M University. As an introduction it is not intended to be exhaustive iQ its choice of material, but rather to convey to interested readers a basic; yet practical, methodology as well as some of the more important results obtained since the 1950's. Although the primary purpose of this volume...
The aim of this book is to give a self-contained introduction to the mathe matical analysis and physical explanations of some basic nonlinear wave phe...
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402,53 |
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Solving Frontier Problems of Physics: The Decomposition Method
ISBN: 9780792326441 / Angielski / Twarda / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems.
This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more... The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without ...
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402,53 |
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The Dynamic Systems of Basic Economic Growth Models
ISBN: 9780792330912 / Angielski / Twarda / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books....
Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes...
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cena:
402,53 |
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Nonlinear Oscillations and Waves in Dynamical Systems
ISBN: 9780792339311 / Angielski / Twarda / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to...
A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered indep...
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cena:
442,79 |
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Linear Difference Equations with Discrete Transform Methods
ISBN: 9780792339403 / Angielski / Twarda / 442 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is in tended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the di rect use of the discrete Fourier transforms for solving boundary value problems associated with difference equations...
This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primaril...
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cena:
805,10 |
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Regularization of Inverse Problems
ISBN: 9780792341574 / Angielski / Twarda / 322 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates. This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularizat... |
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724,58 |
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Dynamic Impulse Systems: Theory and Applications
ISBN: 9780792343943 / Angielski / Twarda / 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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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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402,53 |
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
ISBN: 9780792345299 / Angielski / Twarda / 214 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have...
The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differen...
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201,24 |
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Differential Equations, Discrete Systems and Control: Economic Models
ISBN: 9780792346753 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In t.lw fHll of ) )2, Professor Dr. M. Alt.ar, chairman of tIw newly established dppartnwnt or Managenwnt. wit.h Comput.er Science at thp Homanian -American Univprsity in Bucharest (a private univprsil.y), inl.roducod in t.he curriculum a course on DiffenHltial Equations and Optimal Cont.rol, asking lIS to teach such course. It was an inter8sting challengo, since for t.Iw first tim8 wo had to t8ach such mathemaLical course for st.udents with economic background and interosts. It was a natural idea to sl.m't by looking at pconomic models which were described by differpntial equations and for...
In t.lw fHll of ) )2, Professor Dr. M. Alt.ar, chairman of tIw newly established dppartnwnt or Managenwnt. wit.h Comput.er Science at thp Homanian -...
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cena:
402,53 |
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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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402,53 |
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Applications of Group-Theoretical Methods in Hydrodynamics
ISBN: 9780792352150 / Angielski / Twarda / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present...
It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. Thi...
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cena:
805,10 |
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Nonlinear Analysis, Differential Equations and Control
ISBN: 9780792356653 / Angielski / Twarda / 602 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is...
Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system...
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cena:
402,53 |
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Oscillation Theory for Difference and Functional Differential Equations
ISBN: 9780792362890 / Angielski / Twarda / 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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Differential Geometry of Spray and Finsler Spaces
ISBN: 9780792368687 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary differential equations. A Finsler metric on a manifold is a family of norms in tangent spaces, which vary smoothly with the base point. Every Finsler metric determines a spray by its systems of geodesic equations. Thus, Finsler spaces can be viewed as special spray spaces. On the other hand, every Finsler metric defines a distance function by the length of minimial curves. Thus Finsler spaces can be viewed as regular metric spaces. Riemannian spaces...
In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary diff...
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cena:
402,53 |
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Integral Methods in Science and Engineering: Analytic and Numerical Techniques
ISBN: 9780817632281 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integration-based analytic and numerical techniques. The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods... An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integrati... |
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201,24 |
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Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
ISBN: 9780817634490 / Angielski / Miękka / 145 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave equations. The weak singularities in the solutions to such equations behave up to a certain extent like those present in the linear case: they propagate along the null bicharacteristics of the operator. On the other hand. examples exhibiting singularities not present in the linear case can also be constructed. I have...
This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. It...
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cena:
201,24 |
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The Nonlinear Limit-Point/Limit-Circle Problem
ISBN: 9780817635626 / Angielski / Miękka / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. First posed by Hermann Weyl in 1910, the limit point/limit circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations. This monograph traces the evolution of this problem from its inception to its modern-day extensions to the study of deficiency indices and analogous properties for nonlinear equations. The book opens with a discussion of the problem in the linear case, as Weyl originally stated it, and then proceeds to a generalization for nonlinear higher-order equations. En route, the authors... First posed by Hermann Weyl in 1910, the limit point/limit circle problem has inspired, over the last century, several new developments in the asym... |
cena:
201,24 |
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Pseudodifferential Operators and Nonlinear Pde
ISBN: 9780817635954 / Angielski / Miękka / 216 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Considers pseudodifferential operator techniques in nonlinear PDE. This book covers parabolic equations and elliptic boundary problems.
Considers pseudodifferential operator techniques in nonlinear PDE. This book covers parabolic equations and elliptic boundary problems.
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cena:
483,04 |
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