Differential calculus and equations

Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics.

In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented.

As a rule, many practical problems are studied in a situation when the input data are incomplete.

This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations.

This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields.

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 presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900.

These proceedings of the international Conference "e;Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis"e;, held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics.

This book presents new developments  in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.

This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems.

Focusing on the mathematics, and providing only a minimum of explicatory comment, this volume contains six chapters covering auxiliary material, relatively p-radial operators, relatively p-sectorial operators, relatively s-bounded operators, Cauchy problems for inhomogenous Sobolev-type equations, bounded solutions to Sobolev-type equations, and optimal control.

This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems.

This book provides an overview of different topics related to the theory of partial differential equations.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique.

The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies.

In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces.

This thesis is devoted to the systematic study of non-local theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom.

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive.

Inequalities arise as an essential component in various mathematical areas.

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids.

No detailed description available for "e;Inverse Logarithmic Potential Problem"e;.

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.

There are several physico-chemical processes that determine the behavior of multiphase fluid systems - e.

This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory.