Differential calculus and equations

This book has been designed for a one-year graduate course on boundary value problems for students of mathematics, engineering, and the physical sciences.

The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear.

Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature.

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations.

The third conference on "e;Symmetry and Perturbation Theory"e; (SPT2001) was attended by over 50 mathematicians, physicists and chemists.

This book consists of 20 review articles dedicated to Prof.

This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions.

This is a reprint of M C Irwin's beautiful book, first published in 1980.

The theory and applications of C*-algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems.

The subject of complex vector functional equations is a new area in the theory of functional equations.

Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view.

It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections.

Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics.

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments.

The various types of special functions have become essential tools for scientists and engineers.

This book outlines the modern theory of functional equations and inequalities in several variables.

This book introduces a method of research which can be used in various fields of mathematics.

This proceedings volume contains 55 research and expository articles on a wide range of currently active and interesting areas in pure and applied mathematics.

This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.

This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order.

This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.

The main topics of this book are convergence and topologization.

The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field.

This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics.

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 - 8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis.

This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics.

This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen.

This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore.

ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China.

This book concerns the mathematical analysis - modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc.

This book contains the papers presented at the ICM2002 Satellite Conference on Nonlinear Evolution Equations and Dynamical Systems.

Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications.

The first International Conference on Inverse Problems was held at the City University of Hong Kong in January 2002.

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics.

Technical problems often lead to differential equations with piecewise-smooth right-hand sides.

The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects.

During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared.

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities.

This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory.

The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures.

This volume consists of a collection of articles from experts with a rich research and educational experience.

This proceedings volume widely surveys new problems, methods and techniques in mathematical physics.

The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem.

This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability.

This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications.

This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.

This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.