Calculus and mathematical analysis

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.

Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.

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 book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales.

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

This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators.

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.

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

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.

This second review volume is a follow-up to the book "e;Engineering of Chemical Complexity"e; that appeared in 2013.

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method.

This proceedings contains articles on white noise analysis and related subjects.

The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics.

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 book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrodinger and Korteweg-de Vries equations.

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.

The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

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.

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations.

This book presents a unified treatise of the theory of measure and integration.

The objective of this symposium is to discuss the recent developments in the various areas of functional analysis.

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.

The Workshop NEEDS '91 brought together, from all over the world, scientists engaged in research on nonlinear systems, either their underlying mathematical properties or their physical applications.

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.

These proceedings contain recent developments on the following important topics: variational problems, fully nonlinear elliptic equations, PDE from differential geometry, hamiltonian systems, nonlinear evolution equations and nonlinear microlocal analysis.

The aim of this first international conference entirely devoted to the theory of elementary operators and their interrelations with and applications to other fields was both to give a comprehensive overview of the development of the theory of elementary operators since its beginnings at the end of the last century as well as to discuss some of the recent research done in this area.

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

This is a collection of original research papers presented at the workshop.

This volume presents the results and problems in several complex variables especially L2-methods, Riemannian and Hermitian geometry, spectral theory in Hilbert space, probability and applications in mathematical physics.

This volume contains lectures on recent advances in the theory of integrable systems and quantum groups.

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.

The main theme of the ECIT conferences is Iteration Theory, on the borderline between Dynamics and Functional Equations.

In last thirty years an explosion of interest in the study of nonlinear dynamical systems occured.