Differential calculus and equations

Computer vision and image analysis require interdisciplinary collaboration between mathematics and engineering.

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis.

Topics of this volume are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs.

This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval.

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 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.

When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well.

This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs.

With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs).

Integral geometry deals with the problem of determining functions by their integrals over given families of sets.

Das vorliegende Lehrbuch enthält eine kompakte, in Vorlesungen erprobte Einführung in diese moderne Sichtweise der GDGn, wobei der klassische Stoff nicht vernachlässigt wird.

Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods.

On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "e;Mathematical problems"e; at the Second Interna- tional Congress of Mathematicians in Paris.

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.

A Powerful Methodology for Solving All Types of Differential EquationsDecomposition Analysis Method in Linear and Non-Linear Differential Equations explains how the Adomian decomposition method can solve differential equations for the series solutions of fundamental problems in physics, astrophysics, chemistry, biology, medicine, and other scientif

The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market.

Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems.

This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI).

This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales.

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth.

The main objective of this monograph is the study of a class of stochastic differential systems having unbounded coefficients, both in finite and in infinite dimension.

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role.

This Research Note presents some recent advances in various important domains of partial differentialequations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,mechanics and engineering.

This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painleve test and shows how Painleve analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations.

This book started its life as a series of lectures given by the second author from the 1970's onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University.

This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations.

Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry.

This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory.

A collection of articles on operator-theoretic methods for boundary-value problems.

This textbook is devoted to second order linear partial differential equations.

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory.

Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures.

This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators.

This book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in biology.

This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book is a collection of selectively invited manuscripts from some of the world's leading workers in quantum dynamics; particularly concerning Schrodinger's wavefunction formalism.

Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries.

Il testo intende essere di supporto ad un primo insegnamento di Analisi Matematica secondo i principi dei nuovi Ordinamenti Didattici.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis.

This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author.

The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganes, Spain, from July 3 to July 6, 2018.