Calculus and mathematical analysis

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

This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis.

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.

The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space n.

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.

The book is devoted to the mathematical theory of soliton phenomena on the plane.

In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years.

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.

The book teaches a student to model a scientific problem and write a computer program in C language to solve that problem.

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.

The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subjects to the dynamic constraint expressing the evolution of the system state under the influence of control variables.

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 fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.

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.

The book contains some of the most important results on the analysis of polynomials and their derivatives.

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 volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications.

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 is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes.

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.

The problems of modern society are both complex and multidisciplinary.

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

Computational complexity, originated from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty.