Differential calculus and equations

The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners.

The development of dynamics theory began with the work of Isaac Newton.

This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.

In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense.

The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years.

Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields.

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree.

The first chapter deals with idempotent analysis per se .

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maps whose topological entropy is equal to zero (i.

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.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas.

The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before.

This book is intended as a continuation of my book "e;Parametrix Method in the Theory of Differential Complexes"e; (see [291]).

A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years.

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.

This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994.

Mathematical modeling plays an essential role in science and engineering.

Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures.

The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions.

In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative.

In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza- tion.

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.

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.