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Record Nr. |
UNINA9910827488603321 |
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Autore |
Nakonechnyi O. |
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Titolo |
Guaranteed estimation problems in the theory of linear ordinary differential equations with uncertain data / / Oleksandr Nakonechnyi and Yuri Podlipenko |
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Pubbl/distr/stampa |
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Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] |
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©2021 |
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ISBN |
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1-00-333836-4 |
1-003-33836-4 |
1-000-79513-6 |
87-7022-631-8 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (234 pages) |
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Collana |
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River Publishers series in mathematical and engineering sciences |
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Disciplina |
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Soggetti |
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Cauchy problem |
Differential equations, Linear |
Estimation theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front Cover -- Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data -- Contents -- Preface -- Introduction -- 1 Guaranteed Estimates of Solutions and Right-Hand Sides of the Cauchy Problem Under Incomplete Data -- 1.1 Preliminaries and Auxiliary Results -- 1.2 Statement of the Estimation Problem -- 1.3 Minimax Estimation of Functionals From Solutions of the Cauchy Problem -- 1.4 1-Optimal Estimates of Unknown Solution of the Cauchy Problem -- 1.5 Representations of Guaranteed Estimates of Functionals -- 1.6 Minimax Estimation of the Right-Hand Sides of Equalities that Enter -- 1.7 Guaranteed Estimation of Solutions to the Cauchy Problem -- 1.8 Guaranteed Predictive Estimation of Solutions to the Cauchy Problem -- 2 Guaranteed Estimation of Unknown Solutions and Right-Hand Sides of First Order Linear Systems of Periodic ODEs -- 2.1 Guaranteed Estimation of Solutions of First Order Linear Systems -- 2.2 Guaranteed Recovery of Unknown Right-Hand Sides -- 2.3 |
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