Differential calculus and equations

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.

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.

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 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 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.

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

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 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.

This book is an introduction to mathematical analysis (i.

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.

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.

This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics.

This important book deals with vibrational mechanics - the new, intensively developing section of nonlinear dynamics and the theory of nonlinear oscillations.

Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces.

In the past two decades, there has been great progress in the theory of nonlinear partial differential equations.

This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require.

This book takes a comprehensive look at mean value theorems and their connection with functional equations.

This book introduces the reader to the general theory of partially ordered sets, i.

The book combines both rigor and intuition to derive most of the classical results of linear and nonlinear filtering and beyond.

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas.

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs).

The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations.

This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials.

This book deals mainly with linear and nonlinear parabolic equations and systems of second order.

New Edition: Lipschitz Algebras (2nd Edition)The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(I ) and Linfinity(X), for I a compact Hausdorff space and X a I -finite measure space.

This book deals with the boundary value problems for non-regular partial differential equations in the half-plane.

Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description.

This volume collects the articles presented at the Third International Conference on "e;The Navier-Stokes Equations: Theory and Numerical Methods"e;, held in Oberwolfach, Germany.