Cargando…
Guaranteed estimation problems in the theory of linear ordinary differential equations with uncertain data /
This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from indirect observations which are linear transformations of the same s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Aalborg :
River Publishers,
2021.
|
| Colección: | River Publishers series in mathematical and engineering sciences
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1290484482 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 220101s2021 xx o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e rda |e pn |c EBLCP |d YDX |d IEEEE |d OCLCO |d OCLCF |d N$T |d OCLCO |d OCLCQ |d TYFRS |d OCLCQ |d OCL |d SFB |d OCLCQ |d OCLCO |d U3W |d OCLCL | ||
| 019 | |a 1290375917 |a 1290413358 |a 1290431902 |a 1290448405 |a 1290482681 | ||
| 020 | |a 9788770226318 |q (electronic bk.) | ||
| 020 | |a 8770226318 |q (electronic bk.) | ||
| 020 | |a 9781003338369 |q (electronic bk.) | ||
| 020 | |a 1003338364 |q (electronic bk.) | ||
| 020 | |a 9781000795134 |q (electronic bk. ; |q PDF) | ||
| 020 | |a 1000795136 |q (electronic bk. ; |q PDF) | ||
| 020 | |a 9781000791976 |q (electronic bk. ; |q EPUB) | ||
| 020 | |a 1000791971 |q (electronic bk. ; |q EPUB) | ||
| 020 | |z 8770226326 | ||
| 020 | |z 9788770226325 | ||
| 024 | 7 | |a 10.1201/9781003338369 |2 doi | |
| 035 | |a (OCoLC)1290484482 |z (OCoLC)1290375917 |z (OCoLC)1290413358 |z (OCoLC)1290431902 |z (OCoLC)1290448405 |z (OCoLC)1290482681 | ||
| 037 | |a 9655573 |b IEEE | ||
| 037 | |a 9781003338369 |b Taylor & Francis | ||
| 050 | 4 | |a QA372 | |
| 072 | 7 | |a SCI |x 024000 |2 bisacsh | |
| 072 | 7 | |a PB |2 bicssc | |
| 082 | 0 | 4 | |a 515/.354 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Nakonechnyĭ, O. H. |q (Oleksandr Hryhorovych) |1 https://id.oclc.org/worldcat/entity/E39PCjHvFkh48bQhJV6rc88R83 | |
| 245 | 1 | 0 | |a Guaranteed estimation problems in the theory of linear ordinary differential equations with uncertain data / |c Oleksandr Nakonechnyi, Yuri Podlipenko. |
| 264 | 1 | |a Aalborg : |b River Publishers, |c 2021. | |
| 300 | |a 1 online resource (234 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a River Publishers series in mathematical and engineering sciences | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from indirect observations which are linear transformations of the same solutions perturbed by additive random noises. | ||
| 545 | 0 | |a Oleksandr Nakonechnyi, Yuri Podlipenko | |
| 505 | 0 | |a 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 Guaranteed a Posteriori Estimation of Unknown Right-Hand Sides -- 3 Guaranteed Estimation of Solutions of Boundary Value Problems for Linear Ordinary Differential Equations with Decomposed Boundary Data -- 3.1 Preliminaries and Auxiliary Results -- 3.2 Statement of the Minimax Estimation Problem and Its Reduction -- 3.3 Representations for Minimax Estimates of Functionals from Solutions -- 3.4 Minimax Estimates of Solutions Subject to Incomplete Restrictions -- 3.5 Elimination Technique in Minimax Estimation Problems -- 3.6 Minimax Estimation of the Solutions to the Boundary Value Problems -- 3.7 Results of Numerical Experiments -- 4 Guaranteed Estimation of Parameters of Boundary Value Problems for Linear Ordinary Differential Equations with General Boundary Data -- 4.1 Auxiliary Results. | |
| 505 | 8 | |a 4.2 Statement of the Estimation Problem of Solutions -- 4.3 Representations for Minimax Estimates of the Values of Functionals -- 4.4 Minimax Estimation of Functionals from Right-Hand Sides -- 4.5 Minimax Estimation of Functionals from Solutions -- 4.6 Auxiliary Results -- 4.7 Statement of Estimation Problem -- 4.8 Theorems on the General form of Minimax Estimates -- 4.9 Estimation Problems of Functionals from Unknown Data -- References -- Index -- About the Authors -- Back Cover. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations, Linear. | |
| 650 | 0 | |a Estimation theory. | |
| 650 | 0 | |a Cauchy problem. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 6 | |a Équations différentielles linéaires. | |
| 650 | 6 | |a Théorie de l'estimation. | |
| 650 | 6 | |a Problème de Cauchy. | |
| 650 | 6 | |a Probabilités. | |
| 650 | 7 | |a probability. |2 aat | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a Probabilities |2 fast | |
| 650 | 7 | |a Cauchy problem |2 fast | |
| 650 | 7 | |a Differential equations, Linear |2 fast | |
| 650 | 7 | |a Estimation theory |2 fast | |
| 700 | 1 | |a Podlipenko, Yuri, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Nakonechnyi, Oleksandr. |t Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data. |d Aalborg : River Publishers, ©2021 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=29002964 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL29002964 | ||
| 938 | |a EBSCOhost |b EBSC |n 3128861 | ||
| 938 | |a YBP Library Services |b YANK |n 18126443 | ||
| 938 | |a YBP Library Services |b YANK |n 17781007 | ||
| 938 | |a YBP Library Services |b YANK |n 18104721 | ||
| 994 | |a 92 |b IZTAP | ||