Integral calculus and equations

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating F-function.

Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on.

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

The book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales.

The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

This book deals with boundary value problems for analytic functions with applications to singular integral equations.

This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.

This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms).

This book studies classes of linear integral equations of the first kind most often met in applications.

This book takes a comprehensive look at mean value theorems and their connection with functional equations.

This book introduces some important progress in the theory of Calderon-Zygmund singular integrals, oscillatory singular integrals, and Littlewood-Paley theory over the last decade.

The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago.

In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.

The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle.

This book presents the subject of integral equations in an accessible manner for a variety of applications.

This book presents the major developments in this field with emphasis on application of path integration methods in diverse areas.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

This book discusses the numerical treatment of delay differential equations and their applications in bioscience.

This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance.

This book deals with topics on the theory of measure and integration.

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations.

This book offers a comprehensive treatment of the theory of measures of noncompactness.

This book is intended to be an introduction to Diophantine geometry.

This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert's Seventh Problem (from the International Congress of Mathematicians in Paris, 1900).

An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W.

El propósito del libro es contribuir con los procesos de enseñanza y aprendizaje de las técnicas de integración, tanto para el trabajo en el aula de clase como para el trabajo autónomo de los estudiantes.

This book highlights various topics on measure theory and vividly demonstrates that the different questions of this theory are closely connected with the central measure extension problem.

Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications.

This book offers the reader an overview of recent developments of integral equations on time scales.

The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice.

This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions.

Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis.

This book aims to present, in a unified approach, a series of mathematical results con- cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions.

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.

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.