Differential calculus and equations

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators.

The "e;Hyperboloidal Foliation Method"e; introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces.

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

This is the first textbook-type presentation of tropical value distribution theory.

This unique book on ordinary differential equations addresses practical issues of composing and solving such equations by large number of examples and homework problems with solutions.

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.

Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly.

This volume is on initial-boundary value problems for parabolic partial differential equations of second order.

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis.

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers.

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations.

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.

This volume contains the proceedings of a satellite conference of the 1990 International Congress of Mathematicians.

This book is a revised version of the author's lecture notes in a graduate course of applied mathematics.

This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.

Articles in this collection discuss basic concepts and modern developments in the field.

This is a collection of lectures by leading research mathematicians on the very latest work on qualitative theory of solutions of dynamical systems, ordinary differential equations, delay-differential equations, Volterra integrodifferential equations and partial differential equations.

This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications.

Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel.

The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.

This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject.

NEEDs '92 was held in Dubna, Russia in July 1992.

In this volume which honors Professors W A Harris, Jr, M Iwano, Y Sibuya, active researchers from around the world report on their latest research results.

This is the first book that deals with practical stability and its development.

This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on.

This volume is dedicated to the memory of Professor Stavros Busenberg of Harvey Mudd College, who contributed so greatly to this field during 25 years prior to his untimely death.

This book contains a collection of articles on the topics mentioned in the title or closely related to them, and is dedicated to Prof Aristide Halanay from the University of Bucharest, Romania, in occasion of his 70th birthday.

A collection of papers on current topics and future problems in the theory of differential equations which were reported at the Taniguchi symposium (Katata) and RIMS symposium (Kyoto); Painleve transcendents, Borel resummation, linear differential equations of infinite order, solvability of microdifferential equations, Gevrey index, etc.

The aim of the symposium was to provide a forum for presenting and discussing recent developments and trends in Reaction-diffusion Equations and to promote scientific exchanges among mathematicians in China and in Japan, especially for the younger generation.

This volume contains 30 research papers presenting the recent development and trend on the following subjects: nonlinear hyperbolic equations (systems); nonlinear parabolic equations (systems); infinite-dimensional dynamical systems; applications (free boundary problems, phase transitions, etc.

In this volume, various ideas about Hamiltonian dynamics were discussed.

These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.

In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.

This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.

This book discusses recent trends and developments in the area of nonlinear evolution equations.

This volume constitutes the proceedings of the International Conference on Dynamical Systems in Honor of Prof.

The second workshop on "e;Symmetry and Perturbation Theory"e; served as a forum for discussing the relations between symmetry and perturbation theory, and this put in contact rather different communities.