Integral calculus and equations

by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields.

Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.

In the last century many problems which arose in the science, engineer- ing and technology literature involved nonlinear complex phenomena.

The last decade witnessed an increasing interest of mathematicians in prob- lems originated in mathematical physics.

A decade has passed since Problems of Nonlinear Deformation, the first book by E.

It was noted in the preface of the book "e;Inequalities Involving Functions and Their Integrals and Derivatives"e;, Kluwer Academic Publishers, 1991, by D.

Non-Additive Measure and Integral is the first systematic approach to the subject.

The subject of this book is probabilistic number theory.

The present monograph is devoted to the complex theory of differential 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.