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150212s1999 ne ob 000 0 eng d |
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|d OCLCQ
|d OCLCF
|d IDEBK
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|a 913090379
|a 922950470
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|a 9783110943245
|q (e-book)
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|a 3110943247
|q (e-book)
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|z 9783110354881
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|a (OCoLC)903973830
|z (OCoLC)913090379
|z (OCoLC)922950470
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|a 807139
|b MIL
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|a QA431
|b .B84 1999eb
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|a 515.45
|q OCoLC
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|a UAMI
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|a Bukhgeĭm, A. L.
|q (Aleksandr Lʹvovich),
|e author.
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|a Volterra equations and inverse problems /
|c A.L. Bughgeim.
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264 |
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|a Utrecht, the Netherlands :
|b VSP,
|c 1999.
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300 |
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|a 1 online resource (214 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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490 |
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|a Inverse and ill-posed problems series
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|a Includes bibliographical references.
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|a Online resource; title from PDF title page (ebrary, viewed February 12, 2015).
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|a Chapter 1. Basic concepts of ill-posed problem theory -- 1.1. Classical well-posedness and Tikhonov�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
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|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
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|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
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|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
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|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
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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0 |
|a Volterra equations.
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650 |
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0 |
|a Inverse problems (Differential equations)
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650 |
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6 |
|a Équations de Volterra.
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650 |
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6 |
|a Problèmes inverses (Équations différentielles)
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650 |
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7 |
|a Inverse problems (Differential equations)
|2 fast
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650 |
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7 |
|a Volterra equations
|2 fast
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758 |
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|i has work:
|a Volterra equations and inverse problems (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGC4JCqxT6xVfHbQrqQ9wy
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
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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936 |
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|a BATCHLOAD
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938 |
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|a EBL - Ebook Library
|b EBLB
|n EBL3049514
|
938 |
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|a ebrary
|b EBRY
|n ebr11008878
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938 |
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|a ProQuest MyiLibrary Digital eBook Collection
|b IDEB
|n cis13822316
|
938 |
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|a YBP Library Services
|b YANK
|n 10853151
|
994 |
|
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|a 92
|b IZTAP
|