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Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Hardcover, Reprint 2014): Yu.E. Anikonov Multidimensional Inverse and Ill-Posed Problems for Differential Equations (Hardcover, Reprint 2014)
Yu.E. Anikonov
R3,204 Discovery Miles 32 040 Ships in 12 - 17 working days

Inverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.

Inverse Problems for Kinetic and Other Evolution Equations (Hardcover, Reprint 2014): Yu.E. Anikonov Inverse Problems for Kinetic and Other Evolution Equations (Hardcover, Reprint 2014)
Yu.E. Anikonov
R7,841 Discovery Miles 78 410 Ships in 12 - 17 working days

This monographdeals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.

Formulas in Inverse and Ill-Posed Problems (Hardcover, Reprint 2014): Yu.E. Anikonov Formulas in Inverse and Ill-Posed Problems (Hardcover, Reprint 2014)
Yu.E. Anikonov
R6,318 Discovery Miles 63 180 Ships in 12 - 17 working days

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Ill-Posed and Inverse Problems - Dedicated to Academician Mikhail Mikhailovich Lavrentiev on the Occasion of His 70th Birthday... Ill-Posed and Inverse Problems - Dedicated to Academician Mikhail Mikhailovich Lavrentiev on the Occasion of His 70th Birthday (Hardcover)
V.G. Romanov, S.I. Kabanikhin, Yu.E. Anikonov, A.L. Bukhgeim
R8,703 Discovery Miles 87 030 Out of stock

M.M. Lavrentiev is the author of many fundamental scientific results in many directions of mathematics and its applications, such as differential equations, inverse and ill-posed problems, tomography, numerical and applied mathematics. His results in the theory of inverse problems for differential equations and in tomography are well known all over the world.
To honour him on the occasion of his 70th birthday renowned scientists in this field of mathematics, both from East and West, have contributed to this special collection of papers on ill-posed and inverse problems, which will be of interest to anyone working in this field.

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