Differential calculus and equations

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.

Geometrical concepts play a significant role in the analysis of physical systems.

This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.

This volume constitutes the proceedings of a workshop whose main purpose was to exchange information on current topics in complex analysis, differential geometry, mathematical physics and applications, and to group aspects of new mathematics.

This is an introductory book on supercomputer applications written by a researcher who is working on solving scientific and engineering application problems on parallel computers.

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications.

This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans University.

This book is a monograph on chaos in dissipative systems written for those working in the physical sciences.

In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral 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, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

This book is devoted to some topics of the general theory of invariant and quasi-invariant measures.

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations.

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

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems.

This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry.

This is an introductory book on Henstock integration, otherwise known as generalized Riemann integral.

p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory.

This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.

The purpose of the book is to provide research workers in applied mathematics, physics, and engineering with practical geometric methods for solving systems of nonlinear partial differential equations.

This series aims at reporting new developments of a high mathematical standard and of current interest.

This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations.

In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations.

The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics.

The need to investigate functional differential equations with discontinuous delays is addressed in this book.

The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book.

The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal.

Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly.

The object of these 2 volumes of collected papers is to provide insight and perspective on various research problems and theories in modern topics of Calculus of Variations, Complex Analysis, Real Analysis, Differential Equations, Geometry and their Applications, related to the work of Constantin Caratheodory.

This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rado.

Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering.

This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups.

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 consists of papers written by outstanding mathematicians.

This book is intended to give a survey of the whole field of nonlinear dynamics (or "e;chaos theory"e;) in compressed form.

The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958.

In this book, expansions of functions in infinite series and infinite product and the asymptotic expansion of functions are discussed.

This book introduces the general aspects of hyperbolic conservation laws and their numerical approximation using some of the most modern tools: spectral methods, unstructured meshes and I -formulation.

This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications.

This book deals with the global qualitative behavior of flows and diffeomorphisms.

The book is devoted to boundary value problems for general partial differential equations.

The invertible point transformation is a powerful tool in the study of nonlinear differential and difference equations.

This book is adapted and revised from the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations.

This book is devoted to impulsive differential equations with a small parameter.

This book deals with the investigation of global attractors of nonlinear dynamical systems.

This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields.

This problem book contains exercises for courses in differential equations and calculus of variations at universities and technical institutes.