Differential calculus and equations

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums.

Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results.

The C.

The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations.

ICPT91, the International Conference on Potential Theory, was held in Amersfoort, the Netherlands, from August 18--24, 1991.

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017.

This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations.

In the five years since the first edition of this book appeared, the field of in- verse scattering theory has continued to grow and flourish.

In the past few years, knowledge about methods for the numerical solution of two-point boundary value problems has increased significantly.

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains.

The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems.

A careful exposition of the most fundamental questions in the theory of nonlinear Markov processes.

The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics.

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017.

A differential equation is an equation that involves the derivatives of a function as well as the function itself.

As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community.

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems.

This volume contains papers covering the theory of nonlinear PDEs and the related topics which have been recently developed in Japan.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

In January 2012 an Oberwolfach workshop took place on the topic of recentdevelopments in the numerics of partial differential equations.

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic.

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions.

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic.

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences.

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics.

This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv- ing, primarily, ordinary linear difference equations.

This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.

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.

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions.

Differenzialgleichungen sind Ihnen ein Buch mit sieben Siegeln?

Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables.

Delay Ordinary and Partial Differential Equations is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay.

In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented.

Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods.

This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.

Das vorliegende Lehrprogrammbuch, das aus einem Darbietungs- und einem Übungsprogramm besteht, gibt eine Einführung in die Differential­ rechnung.

Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.

The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions.

Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field.

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval.

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations.

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization.

Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.