Differential calculus and equations

The last thirty years were a period of continuous and intense growth in the subject of dynamical systems.

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa- is in the tradition of the books [GH] and [EW.

Spline functions entered Approximation Theory as solutions of natural extremal problems.

This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type.

The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications.

Many important phenomena are described and modeled by means of differential and integral equations.

The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics.

The book Partial Differential Equations through Examples and Exercises has evolved from the lectures and exercises that the authors have given for more than fifteen years, mostly for mathematics, computer science, physics and chemistry students.

In this monograph the theory and methods of solving inverse Stefan problems for quasilinear parabolic equations in regions with free boundaries are developed.

In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers.

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.

The NATO Advanced Study Institute "e;Microlocal Analysis and Spectral The- ory"e; was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "e;11 Ciocco"e; , from September 23 to October 3, 1996.

In this volume, designed for engineers and scientists working in the area of Computational Fluid Dynamics (CFD), experts offer assessments of the capabilities of CFD, highlight some fundamental issues and barriers, and propose novel approaches to overcome these problems.

Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields.

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets.

The main part of the book is based on a one semester graduate course for students in mathematics.

This book is intended as a self-contained exposition of hyperbolic functional dif- ferential inequalities and their applications.

In this monograph stochastic models of systems analysis are discussed.

Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes.

Since the initiative works for global analysis of linear differential equations by G.

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857).

This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows.

A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics.

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.

Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras.

Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis.

This volume contains selected papers presented at the Symposium on "e;Recent Developments in Non-linear Oscillations of Mechanical Systems"e;, held in Hanoi, Vietnam, from 2 - 5 March 1999.

This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

The theory of integral and integrodifferential equations has ad- vanced rapidly over the last twenty years.

The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups.

Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations.

These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991.

This volume consists of the proceedings of the NATO Advanced Research Workshop on Approximation by Solutions of Partial Differential Equations, Quadrature Formulae, and Related Topics, which was held at Hanstholm, Denmark.