Differential calculus and equations

This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994.

Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem.

The use of difference matrices and high-level MATLAB(R) commands to implement finite difference algorithms is pedagogically novel.

This volume collects the edited and reviewed contributions presented in the 8th iTi Conference on Turbulence, held in Bertinoro, Italy, in September 2018.

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.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory.

This IMA Volume in Mathematics and its Applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES.

This book introduces a new geometric vision of continued fractions.

Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering.

Besides turbulence there is hardly any other scientific topic which has been considered as a prominent scientific challenge for such a long time.

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems.

Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

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

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

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques.

This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere.

This book discusses the state-of-the-art and open problems in computational finance.

The following chapters summarize lectures given in March 2001 during the summerschool on Hyperbolic Partial Differential Equations which took place at the Technical University of Hamburg-Harburg in Germany.

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains.

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction.

A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle.

This book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019.

This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof.

Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades.

Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis.

This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples.

Gott sprach: „Es werde Licht, und es ward .

This book is devoted to the study of positive solutions to indefinite problems.

Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations.

Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one.

This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations.

The book addresses the system performance with a focus on the network-enhanced complexities and developing the engineering-oriented design framework of controllers and filters with potential applications in system sciences, control engineering and signal processing areas.

Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain.

Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity.

A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades.

Functional Analysis has become one of the main branches in Chinese mathematics.

Spline functions entered Approximation Theory as solutions of natural extremal problems.

The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?

This book introduces the reader to the general theory of partially ordered sets, i.

This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures.