Nonclassical Linear Volterra Equations of the First Kind PDF Download
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Author: Anatoly S. Apartsyn
Publisher: Walter de Gruyter
ISBN: 3110944979
Category : Mathematics
Languages : en
Pages : 177
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Book Description
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.
Author: Anatoly S. Apartsyn
Publisher: Walter de Gruyter
ISBN: 3110944979
Category : Mathematics
Languages : en
Pages : 177
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Book Description
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.
Author: A. S. Apart︠s︡in
Publisher:
ISBN: 9783110619935
Category :
Languages : en
Pages :
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Book Description
Author: Alexander Strekalovsky
Publisher: Springer Nature
ISBN: 3030864332
Category : Mathematics
Languages : en
Pages : 515
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Book Description
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.
Author: Georgy A. Sviridyuk
Publisher: Walter de Gruyter
ISBN: 3110915502
Category : Mathematics
Languages : en
Pages : 224
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Book Description
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.
Author: Mikhail M. Lavrent'ev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110936526
Category : Mathematics
Languages : en
Pages : 216
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Book Description
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
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1107098726
Category : Mathematics
Languages : en
Pages : 405
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Book Description
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Author: Alexander G. Megrabov
Publisher: Walter de Gruyter
ISBN: 3110944987
Category : Mathematics
Languages : en
Pages : 244
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Book Description
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.
Author: Semen Ya. Serovaiskii
Publisher: Walter de Gruyter
ISBN: 3110915537
Category : Mathematics
Languages : en
Pages : 185
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Book Description
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.
Author: Michael V. Klibanov
Publisher: Walter de Gruyter
ISBN: 3110915545
Category : Mathematics
Languages : en
Pages : 292
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Book Description
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.
Author: Valeri P. Maltsev
Publisher: Walter de Gruyter
ISBN: 3110915553
Category : Mathematics
Languages : en
Pages : 144
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Book Description
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.
