Calculus and mathematical analysis

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

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest.

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.

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).

The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems.

The book collects original articles on numerical analysis of ordinary differential equations and its applications.

This is probably the first book dedicated to this topic.

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

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods.

This book deals with a series of topics on the cutting edge of nonlinear science, striking a balance between theory and experiment.

The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses.

This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems.

Psychophysics is by definition mappings between events in the environment and levels of human sensory responses.

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest.

A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975.

Functional differential equations have received attention since the 1920's.

This text contains a basic introduction to the abstract measure theory and the Lebesgue integral.

This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.

This book is essentially devoted to complex properties (Phase plane structure and bifurcations) of two-dimensional noninvertible maps, i.

This book contains a systematic study of ecological communities of two or three interacting populations.

This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrodinger-like equation in Hilbert space.

This book surveys some topics in the rapidly developing areas of regular and singular boundary value problems.

The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization.

The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems.

World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.

This book introduces a rapidly growing new research area - the study of dynamical properties of elementary fields.

This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author.

Dynamical bifurcation theory is concerned with the changes that occur in the global structure of dynamical systems as parameters are varied.

In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters.

This book provides an elementary introduction to the classical analysis on normed spaces, paying special attention to nonlinear topics such as fixed points, calculus and ordinary differential equations.

This book discusses the influence of quasiperiodic force on dynamical system.

This book is the result of several years of work by the authors on different aspects of zeta functions and related topics.

This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry.

This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications.

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems.

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics.

This book is an introduction to mathematical analysis (i.

This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee.

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski.

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology.

Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory.

The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis.

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems.

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This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.