Differential calculus and equations

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.

And God said, Let there be light; and there was light.

Fractional evolution equations describe various complex and nonlocal systems with memory.

The scope of this book is the improper or generalized Riemann integral and infinite sum (series).

The term convexity used to describe these lectures given at the Univer- sity of Lund in 1991-92 should be understood in a wide sense.

The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations.

This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications.

An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.

This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls.

Dedicated to Tosio Kato's 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics.

This is the first book that deals with practical stability and its development.

Dieses Buch ist aus Vorlesungen und Übungen entstanden, die ich mehrfach an der Universität Karlsruhe für Mathematiker, Physiker, Ingenieure und Informati­ ker gehalten habe.

In this book, the author compares the meaning of stability in different subfields of numerical mathematics.

The Proceedings volume contains 16 contributions to the IMPA conference "e;New Trends in Parameter Identification for Mathematical Models"e;, Rio de Janeiro, Oct 30 - Nov 3, 2017, integrating the "e;Chemnitz Symposium on Inverse Problems on Tour"e;.

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial di?

The study of (nonlinear) dift"e;erential equations was S.

No detailed description available for "e;Inverse Problems in Differential Equations"e;.

This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object.

The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction-diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena.

The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hormander function spaces.

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

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

This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto.

This monograph presents the state of the art of convexity, with an emphasis to integral representation.

This volume presents surveys and research papers on various aspects of modern stability theory, including discussions on modern applications of the theory, all contributed by experts in the field.

In this introductory treatment Ali Nayfeh presents different concepts from dynamical systems theory and nonlinear dynamics in a rigorous yet plan way.

Bringing together two fundamental texts from Frederic Pham's research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach.

The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences.

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We dedicate this book to professor C.

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one's own time.

Lectures: B.

The main challenge in the study of nonautonomous phenomena is to understand the very complicated dynamical behaviour both as a scientific and mathematical problem.

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par- tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech- nical Research Council of Turkey and the Middle East Technical University.

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

This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021.

This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona.

This book contains survey papers based on the lectures presented at the 3rd International Winter School "e;Modern Problems of Mathematics and Mechanics"e; held in January 2010 at the Belarusian State University, Minsk.

This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients.

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions.

Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject.