Integral calculus and equations

The book is intended for all those who are interested in application problems related to dynamical systems.

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

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

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.

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

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

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.

This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments.

This textbook provides a mathematical introduction to linear systems, with a focus on the continuous-time models that arise in engineering applications such as electrical circuits and signal processing.

This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments.

This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.

This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives.

This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

This book gives many helps for students of technical colleges who have had usual mathematical training.

This book touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems.

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

This book contains a brief historical introduction and state of the art in fractional calculus.

This monograph presents the first unified exposition of generalized multiresolution analyses.

This compact textbook is a collection of the author's lecture notes for a two-semester graduate-level real analysis course.

In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved.

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.

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 subject has been of great interest both to topologists and to number theorists.

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 book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series.

'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 gives many helps for students of technical colleges who have had usual mathematical training.

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