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Stability and Oscillations in Delay Differential Equations of Population Dynamics
ISBN: 9780792315940 / Angielski / Twarda / 502 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Et moi, ..., si j'avait so comment CD revenir. je One service mathematics bas rendered be human race. It bas put common sense back n 'y semis point aile.' JulesVeme where it belongs, on be topmost shelf next to be dusty canister labelled 'discarded nonsense'. Erie T. Bell The series is divergent; therefore we may be able to do something wilh it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a...
'Et moi, ..., si j'avait so comment CD revenir. je One service mathematics bas rendered be human race. It bas put common sense back n 'y semis point ...
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cena:
805,10 |
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Differential and Integral Equations Through Practical Problems and Exercises
ISBN: 9780792318903 / Angielski / Twarda / 397 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and...
Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies ...
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402,53 |
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Applied Theory of Functional Differential Equations
ISBN: 9780792320135 / Angielski / Twarda / 234 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'E.t moi, .. " si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf nex t to the dusty canister labelled 'discarded non- The series is divergent; thererore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside 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...
'E.t moi, .. " si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point...
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cena:
603,81 |
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Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
ISBN: 9780792320593 / Angielski / Twarda / 331 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions.
The book has five chapters: Chapter I deals with linear... This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properti...
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cena:
201,24 |
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Bifurcations and Periodic Orbits of Vector Fields
ISBN: 9780792323921 / Angielski / Twarda / 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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Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
ISBN: 9780792324577 / Angielski / Twarda / 477 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been...
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The...
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1207,67 |
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Adjoint Equations and Analysis of Complex Systems
ISBN: 9780792330134 / Angielski / Twarda / 468 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science...
New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which...
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cena:
402,53 |
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Multigrid Methods for Finite Elements
ISBN: 9780792332909 / Angielski / Twarda / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention...
Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical lev...
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cena:
805,10 |
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Nonlinear Mechanics, Groups and Symmetry
ISBN: 9780792333395 / Angielski / Twarda / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They pene trated deep into various applied branches (theoretical physics, mechanics, ap plied astronomy, dynamics of space flights, and others) and laid the founda tion for lrumerous generalizations and for the creation of various modifications of thesem. E f, hods. A great number of approaches and techniques exist and many differen. t classes of mathematical objects have been considered (ordinary differential equations, partial differential equations, delay...
Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They pene trated...
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805,10 |
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Topological Methods in Differential Equations and Inclusions
ISBN: 9780792336785 / Angielski / Twarda / 522 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions." This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries...
The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods ...
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1207,67 |
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Oscillation Theory of Two-Term Differential Equations
ISBN: 9780792344476 / Angielski / Twarda / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Oscillation theory was born with Sturm's work in 1836. It has been flourishing for the past fifty years. Nowadays it is a full, self-contained discipline, turning more towards nonlinear and functional differential equations. Oscillation theory flows along two main streams. The first aims to study prop erties which are common to all linear differential equations. The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. Among them we find third and fourth order equations, self adjoint equations,...
Oscillation theory was born with Sturm's work in 1836. It has been flourishing for the past fifty years. Nowadays it is a full, self-contained discipl...
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402,53 |
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Existence Theory for Nonlinear Ordinary Differential Equations
ISBN: 9780792345114 / Angielski / Twarda / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t, y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = 0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In...
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is re...
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603,81 |
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Focal Boundary Value Problems for Differential and Difference Equations
ISBN: 9780792349785 / Angielski / Twarda / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations. In this vast field of research, the conjugate (Hermite) and the right focal point (Abei) types of problems have received the maximum attention. This is largely due to the fact that these types of problems are basic, in the sense that the methods employed in their study are easily extendable to other types of prob lems. Moreover, the conjugate and the right focal point types...
The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of appl...
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603,81 |
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Random Fields and Stochastic Partial Differential Equations
ISBN: 9780792349846 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book considers some models described by means of partial dif ferential equations and boundary conditions with chaotic stochastic disturbance. In a framework of stochastic Partial Differential Equa tions an approach is suggested to generalize solutions of stochastic Boundary Problems. The main topic concerns probabilistic aspects with applications to well-known Random Fields models which are representative for the corresponding stochastic Sobolev spaces. {The term "stochastic" in general indicates involvement of appropriate random elements. ) It assumes certain knowledge in general...
This book considers some models described by means of partial dif ferential equations and boundary conditions with chaotic stochastic disturbance. In ...
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402,53 |
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Introduction to the Theory and Applications of Functional Differential Equations
ISBN: 9780792355045 / Angielski / Twarda / 648 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. At the beginning of this century Emil Picard wrote: "Les equations differentielles de la mecanique classique sont telles qu 'il en resulte que le mouvement est determine par la simple connaissance des positions et des vitesses, c 'est-a-dire par l 'etat a un instant donne et a 'instant infiniment voison. Les etats anterieurs n'y intervenant pas, l'heredite y est un vain mot. L 'application de ces equations ou le passe ne se distingue pas de l 'avenir, ou les mouvements sont de nature reversible, sont done inapplicables aux etres vivants." "Nous pouvons rever d'equations fonctionnelles plus...
At the beginning of this century Emil Picard wrote: "Les equations differentielles de la mecanique classique sont telles qu 'il en resulte que le mouv...
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cena:
402,53 |
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Global Analysis in Linear Differential Equations
ISBN: 9780792356059 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions, which have a variety of applications to mathematical science, physics and engineering. The cffcctivity of these functions is essentially due to their "behavior in the large" . For instance, the Airy function plays a basic role in the asymptotic analysis of many functions arising as solutions of differential equations in several problems of applied...
Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss...
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402,53 |
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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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402,53 |
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Hyperbolic Functional Differential Inequalities and Applications
ISBN: 9780792357919 / Angielski / Twarda / 306 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a systematic and unified presentation of recent developments of the following problems: (i) functional differential inequalities generated by initial and mixed problems, (ii) existence theory of local and global solutions, (iii) functional integral equations generated by hyperbolic equations, (iv) numerical method of lines for hyperbolic problems, (v) difference methods for initial and initial-boundary value problems. Beside classical solutions,...
This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a ...
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402,53 |
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Analytic-Bilinear Approach to Integrable Hierarchies
ISBN: 9780792359197 / Angielski / Twarda / 267 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups. There are many publications on this subject, and it is rather well defined. Thus, the author would like t.o explain why he has taken the risk of revisiting the subject. The Sato Grassmannian approach, and other approaches standard in this context, reveal deep mathematical structures in the base of the integrable hi erarchies. These approaches concentrate mostly on the algebraic picture, and they use a language suitable for applications to quantum field theory....
The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups. There are many p...
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cena:
201,24 |
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Boundary Value Problems in the Spaces of Distributions
ISBN: 9780792360254 / Angielski / Twarda / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present monograph is devoted to the theory of the solvability in generalized functions of general boundary value problems of mathematieal physies. It is the eontinuation of the author's book Rl], where elliptic boundary value problems have been studied in eomplete seales of spaees of generalized funetions. From the early sixties, in the works of Lions and Magenes LiM] and Yu. Berezanskii, S. Krein and Va. Roitberg BKR] the theorems on eomplete eolleetion of isomorphisms have been established. These theorems, roughly speaking, mean that the operator generated by an elliptie boundary...
The present monograph is devoted to the theory of the solvability in generalized functions of general boundary value problems of mathematieal physies....
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cena:
201,24 |
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