Differential calculus and equations

This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.

This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations.

This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain.

The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain.

Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds.

No detailed description available for "e;Numerical Analysis of Systems of Ordinary and Stochastic Differential Equations"e;.

This monograph is devoted to identification problems of coefficients in equations of mathematical physics.

No detailed description available for "e;Inverse Problems of Electromagnetic Geophysical Fields"e;.

No detailed description available for "e;Volterra Equations and Inverse Problems"e;.

No detailed description available for "e;Countable Systems of Differential Equations"e;.

No detailed description available for "e;Random Walks on Boundary for Solving PDEs"e;.

No detailed description available for "e;Inverse Sturm-Liouville Problems"e;.

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 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.

No detailed description available for "e;Ergodic Theorems and Related Problems"e;.

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 book contains four survey papers related to different topics in computational mechanics, in particular (1) novel discretization and solver techniques in mechanics and (2) inverse, control, and optimization problems in mechanics.

No detailed description available for "e;Spherical Means for PDEs"e;.

No detailed description available for "e;Monte Carlo Method for Solving Inverse Problems of Radiation Transfer"e;.

No detailed description available for "e;Methods for Solution of Nonlinear Operator Equations"e;.

No detailed description available for "e;Uniqueness Problems for Degenerating Equations and Nonclassical Problems"e;.

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.