Differential calculus and equations

I once heard the book by Meyer (1993) described as a "e;vulgarization"e; of wavelets.

Periodic differential equations appear in many contexts such as in the theory of nonlinear oscillators, in celestial mechanics, or in population dynamics with seasonal effects.

The seventh volume in the SemStat series, Statistical Methods for Stochastic Differential Equations presents current research trends and recent developments in statistical methods for stochastic differential equations.

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.

This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics.

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

The goal of this book is to present some modern aspects of nonlinear analysis.

This textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus.

Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications.

This problem book contains exercises for courses in differential equations and calculus of variations at universities and technical institutes.

This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010.

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited.

ECMI has a brand name in Industrial Mathematics and organises successful biannual conferences.

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This volume contains refereed research or review articles presented at the 7th Seminar on Stochastic Analysis, Random Fields and Applications which took place at the Centro Stefano Franscini (Monte Verita) in Ascona , Switzerland, in May 2011.

The basic stochastic approximation algorithms introduced by Robbins and MonroandbyKieferandWolfowitzintheearly1950shavebeenthesubject of an enormous literature, both theoretical and applied.

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions.

This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems.

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems.

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.

This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries.

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry.

This book deals with analytic treatments of Markov processes.

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled "e;Geometric mechanics - variational and stochastic methods"e; run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Federale de Lausanne.

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.

The book provides a valuable source of technical content for the prediction and analysis of advanced heat transfer problems, including conduction, convection, radiation, phase change, and chemically reactive modes of heat transfer.

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type.

The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success.

Praise for the first edition "e;The author is an outstanding expert in harmonic analysis who has made important contributions.

This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989.

This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work.

The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulae on Hilbert and Banach spaces.

The concept of higher order derivatives is useful in many branches of mathematics and its applications.

This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele.

Transmutation Theory and Applications

This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields.

This book collects recent research papers by respected specialists in the field.

This concise text is intended as an introductory course in measure and integration.

This volume covers selected topics addressed and discussed during the workshop "e;PDE models for multi-agent phenomena,"e; which was held in Rome, Italy, from November 28th to December 2nd, 2016.