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Nonclassical Linear Volterra Equations Of The First Kind


Nonclassical Linear Volterra Equations Of The First Kind
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Nonclassical Linear Volterra Equations Of The First Kind


Nonclassical Linear Volterra Equations Of The First Kind
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Author : Anatoly S. Apartsyn
language : en
Publisher: Walter de Gruyter
Release Date : 2011-03-01

Nonclassical Linear Volterra Equations Of The First Kind written by Anatoly S. Apartsyn and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-01 with Mathematics categories.


This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems.



Mathematical Optimization Theory And Operations Research Recent Trends


Mathematical Optimization Theory And Operations Research Recent Trends
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Author : Alexander Strekalovsky
language : en
Publisher: Springer Nature
Release Date : 2021-09-20

Mathematical Optimization Theory And Operations Research Recent Trends written by Alexander Strekalovsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Mathematics categories.


This book constitutes refereed proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. Due to the COVID-19 pandemic the conference was held online. The 31 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: continuous optimization; integer programming and combinatorial optimization; operational research applications; optimal control.



Volterra Integral Equations


Volterra Integral Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-20

Volterra Integral Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-20 with Mathematics categories.


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Linear Sobolev Type Equations And Degenerate Semigroups Of Operators


Linear Sobolev Type Equations And Degenerate Semigroups Of Operators
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Author : Georgy A. Sviridyuk
language : en
Publisher: Walter de Gruyter
Release Date : 2012-06-04

Linear Sobolev Type Equations And Degenerate Semigroups Of Operators written by Georgy A. Sviridyuk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-04 with Mathematics categories.


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 σ-bounded operators, Cauchy problems for inhomogenous Sobolev-type equations, bounded solutions to Sobolev-type equations, and optimal control.



Ill Posed And Non Classical Problems Of Mathematical Physics And Analysis


Ill Posed And Non Classical Problems Of Mathematical Physics And Analysis
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Ill Posed And Non Classical Problems Of Mathematical Physics And Analysis written by Mikhail M. Lavrent'ev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.


These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", 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. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences



Forward And Inverse Problems For Hyperbolic Elliptic And Mixed Type Equations


Forward And Inverse Problems For Hyperbolic Elliptic And Mixed Type Equations
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Author : Alexander G. Megrabov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-24

Forward And Inverse Problems For Hyperbolic Elliptic And Mixed Type Equations written by Alexander G. Megrabov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.


Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monograph direct and inverse problems for partial differential equations are considered. The type of equations focused are hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination of medium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of research of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.



Carleman Estimates For Coefficient Inverse Problems And Numerical Applications


Carleman Estimates For Coefficient Inverse Problems And Numerical Applications
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Author : Michael V. Klibanov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-04-17

Carleman Estimates For Coefficient Inverse Problems And Numerical Applications written by Michael V. Klibanov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-17 with Mathematics categories.


In this monograph, the main subject of the author's considerations is coefficient inverse problems. Arising in many areas of natural sciences and technology, such problems consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals. Although the authors pay strong attention to the rigorous justification of known results, they place the primary emphasis on new concepts and developments.



Inverse Problems Of Mathematical Physics


Inverse Problems Of Mathematical Physics
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-07

Inverse Problems Of Mathematical Physics written by Mikhail M. Lavrent'ev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.


This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.



Characterisation Of Bio Particles From Light Scattering


Characterisation Of Bio Particles From Light Scattering
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Author : Valeri P. Maltsev
language : en
Publisher: Walter de Gruyter
Release Date : 2013-03-01

Characterisation Of Bio Particles From Light Scattering written by Valeri P. Maltsev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Mathematics categories.


The primary aim of this monograph is to provide a systematic state-of-the-art summary of the light scattering of bioparticles, including a brief consideration of analytical and numerical methods for computing electromagnetic scattering by single particles, a detailed discussion of the instrumental approach used in measurement of light scattering, an analysis of the methods used in solution of the inverse light scattering problem, and an introduction of the results dealing with practical analysis of biosamples. Considering the widespread need for this information in optics, remote sensing, engineering, medicine, and biology, the book is useful to many graduate students, scientists, and engineers working on various aspects of electromagnetic scattering and its applications.



Counterexamples In Optimal Control Theory


Counterexamples In Optimal Control Theory
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Author : Semen Ya. Serovaiskii
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-01

Counterexamples In Optimal Control Theory written by Semen Ya. Serovaiskii and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Mathematics categories.


This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.