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221028 ||| eng |
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|a 9786612755422
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|a 008095636X
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|a 1282755420
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|a 9781282755420
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|a 9780080956367
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4 |
|a QA374
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1 |
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|a Carroll, Robert W.
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| 245 |
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|a Singular and degenerate Cauchy problems
|c R.W. Carroll, R.E. Showalter
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| 260 |
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|a New York
|b Academic Press
|c 1976, 1976
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| 300 |
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|a viii, 333 pages
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|a Cover13; -- Singular and Degenerate Cauchy Problems -- Copyright Page -- Contents -- Preface -- Chapter 1. Singular Partial Differential Equations of EPD Type -- 1.1. Examples -- 1.2. Mean values in Rn -- 1.3. The Fourier method -- 1.4. Connection formulas and properties of solutions for EPD equations in D' and S' -- 1.5. Spectral techniques and energy methods in Hilbert space -- 1.6. EPD equations in general spaces -- 1.7. Transmutation -- Chapter 2. Canonical Sequences of Singular Cauchy Problems -- 2.1. The rank one situation -- 2.2. Resolvants -- 2.3. Examples with m2945; = 0 -- 2.4. Expressions for general resolvants -- 2.5. The Euclidean case plus generalizations -- Chapter 3. Degenerate Equations with Operator Coefficients -- 3.1. Introduction -- 3.2. The Cauchy problem by spectral techniques -- 3.3. Strongly regular equations -- 3.4. Weakly regular equations -- 3.5. Linear degenerate equations -- 3.6. Semilinear degenerate equations -- 3.7. Doubly nonlinear equations -- Chapter 4. Selected Topics -- 4.1. Introduction -- 4.2. Huygens' principle -- 4.3. The generalized radiation problem of Weinstein -- 4.4. Improperly posed problems -- 4.5. Miscellaneous problems -- REFERENCES -- INDEX.
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|a Includes bibliographical references (pages 276-327) and index
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| 653 |
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|a MATHEMATICS / Differential Equations / Partial / bisacsh
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| 653 |
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|a Probleem van Cauchy / gtt
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| 653 |
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|a Cauchy, Problème de / ram
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| 653 |
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|a Cauchy problem / fast / (OCoLC)fst00849796
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| 653 |
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|a Cauchy problem / http://id.loc.gov/authorities/subjects/sh85021438
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| 653 |
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|a Cauchy-Anfangswertproblem / gnd / http://d-nb.info/gnd/4147404-1
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| 653 |
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|a Problème de Cauchy
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| 700 |
1 |
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|a Showalter, R. E.
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a Mathematics in science and engineering
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| 776 |
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|z 9780080956367
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| 776 |
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|z 008095636X
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| 776 |
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|z 0121614506
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| 776 |
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|z 9780121614508
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| 856 |
4 |
0 |
|u https://www.sciencedirect.com/science/bookseries/00765392/127
|x Verlag
|3 Volltext
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| 082 |
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|a 515/.353
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| 520 |
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|a In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;<BR id="CRLF">methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression
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