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Volterra equations and inverse problems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bukhgeĭm, A. L. (Aleksandr Lʹvovich) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht, the Netherlands : VSP, 1999.
Colección:Inverse and ill-posed problems series.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 515.45  |q OCoLC 
049 |a UAMI 
100 1 |a Bukhgeĭm, A. L.  |q (Aleksandr Lʹvovich),  |e author. 
245 1 0 |a Volterra equations and inverse problems /  |c A.L. Bughgeim. 
264 1 |a Utrecht, the Netherlands :  |b VSP,  |c 1999. 
300 |a 1 online resource (214 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed February 12, 2015). 
505 0 |a Chapter 1. Basic concepts of ill-posed problem theory -- 1.1. Classical well-posedness and Tikhonovâ€?s well-posedness -- 1.2. Simplest properties of the well-posedness set and the continuity modulus. Connection with estimates of the interpolation type -- 1.3. Projection on the convex closed set. Quasisolution -- 1.4. The structure of correctness sets -- 1.5. Regularizators and regularising operator sets -- 1.6. Final remarks -- Chapter 2. Linear Volterra operators and their properties -- 2.1. Abstract Volterra operators 
505 8 |a 2.2. Completely continuous Volterra operators in a Hilbert space2.3. Operators Jα and their properties -- 2.4. Classical uniqueness and stability theorems -- 2.5. Ï?(Î?) estimates and Ï?-continuity criteria -- Chapter 3. Linear operator Volterra equations -- 3.1. Operator Volterra equations in the scales of Banach spaces -- 3.2. Operator Volterra equations of the first kind -- 3.3. Operator Volterra equation of the first kind with the nondifferentiable kernel -- 3.4. Examples of scales of Banach spaces -- 3.5. Examples of operator Volterra equations 
505 8 |a Chapter 4. Nonlinear operator Volterra equations in the scales of Banach spaces4.1. Formulations of the basic theorems -- 4.2. Definitions and auxiliary statements -- 4.3. Proofs of the basic theorems -- 4.4. Inverse kinematic problem of seismology -- Chapter 5. Abstract integro-differential equations and inverse problems -- 5.1. Basic estimates -- 5.2. Uniqueness and stability of solution of integro-differential equations and inequalities -- 5.3. The problem of determining the right side of the evolutionary equation -- 5.4. Evolutionary equation of the second order 
505 8 |a 5.5. Operator Volterra equations with commuting kernelsChapter 6. Multidimensional inverse problems -- 6.1. Inverse problems, commutators and a priori estimates -- 6.2. Theorems of decomposition -- 6.3. Examples of inverse problems that admit decomposition -- Chapter 7. Multidimensional integro-differential equations of Volterra type -- 7.1. Statement of the problem -- 7.2. Necessary conditions -- 7.3. Sufficient conditions -- Chapter 8. Inverse problems of wave propagation and scattering -- 8.1. The inverse problem of wave propagation in layered media 
505 8 |a 8.2. The problem of determining the right side of the Lameé equations8.3. Statement of the inverse scattering on the barrier problems -- 8.4. Definitions and auxiliary facts -- 8.5. Uniqueness of the inverse scattering problem in the Kirchhoff approximation -- 8.6. Problems of coefficients determination -- Bibliography 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Volterra equations. 
650 0 |a Inverse problems (Differential equations) 
650 6 |a Équations de Volterra. 
650 6 |a Problèmes inverses (Équations différentielles) 
650 7 |a Inverse problems (Differential equations)  |2 fast 
650 7 |a Volterra equations  |2 fast 
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776 0 8 |i Print version:  |a Bughgeim, A.L.  |t Volterra Equations and Inverse Problems.  |d Hawthorne : De Gruyter, ©1999  |z 9783110354881 
830 0 |a Inverse and ill-posed problems series. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3049514  |z Texto completo 
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