Integral calculus and equations

Boolean Algebras in Analysis consists of two parts.

It is well known that contemporary mathematics includes many disci- plines.

In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints.

We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems.

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics is the second edition of the same book in Russian, revised and enlarged.

In this monograph, questions of extensions and relaxations are consid- ered.

This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line.

There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models.

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.

The understanding of results and notions for a student in mathematics requires solving ex- ercises.

Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents.

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations.

After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces.

It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century.

Iteration regularization, i.

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains.

The material of the present book is an extension of a graduate course given by the author at the University "e;Al.

The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants.

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

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

The present book is a monograph including some recent results of mea- sure and integration theory.

maps whose topological entropy is equal to zero (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.

This book is an outgrowth of ideas originating from 1.

This book is concerned with the numerical solution of crack problems.

Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research.

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known.

It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory.

For many years physics and mathematics have had a fruitful influence on one another.

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

This book is the first to be devoted to the theory of vector-valued functions with one variable.

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

This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis.

Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop- erties of almost all sample paths of the sequences involved (strong limit theorems).

The last decade has seen a remarkable development of the "e;Marginal and Moment Problems"e; as a research area in Probability and Statistics.

The present monograph consists of two parts.

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.

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

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

Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a "e;standard"e; model and the other, a "e;nonstandard"e; model.

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo- metry.

The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

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.