Stochastic systems /
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Academic Press,
1983.
|
| Series: | Mathematics in science and engineering ;
v. 169. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | mig00005484241 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090320s1983 nyu ob 001 0 eng d | ||
| 005 | 20240708165424.5 | ||
| 019 | |a 300906406 |a 643823518 |a 823843617 |a 823912377 |a 824099388 |a 824154811 |a 1086544714 |a 1162556219 |a 1241793455 |a 1300581587 | ||
| 020 | |a 9780080956756 |q (electronic bk.) | ||
| 020 | |a 0080956750 |q (electronic bk.) | ||
| 020 | |a 1282290339 | ||
| 020 | |a 9781282290334 | ||
| 020 | |a 0120443708 | ||
| 020 | |a 9780120443703 | ||
| 020 | |a 9786612290336 | ||
| 020 | |a 6612290331 | ||
| 020 | |z 9780444517968 | ||
| 020 | |z 9780120443703 | ||
| 020 | |z 0120443708 | ||
| 024 | 3 | |a 9780120443703 | |
| 035 | |a 1WRLDSHRocn316564070 | ||
| 035 | |a (OCoLC)316564070 |z (OCoLC)300906406 |z (OCoLC)643823518 |z (OCoLC)823843617 |z (OCoLC)823912377 |z (OCoLC)824099388 |z (OCoLC)824154811 |z (OCoLC)1086544714 |z (OCoLC)1162556219 |z (OCoLC)1241793455 |z (OCoLC)1300581587 | ||
| 040 | |a OPELS |b eng |e pn |c OPELS |d N$T |d OCLCQ |d EBLCP |d IDEBK |d OCLCE |d E7B |d OCLCQ |d OPELS |d OCLCQ |d OCLCF |d DEBBG |d OCLCQ |d NLGGC |d YDXCP |d OCLCQ |d COO |d OCLCQ |d HEBIS |d OCLCO |d OCLCA |d DEBSZ |d OCLCQ |d VTS |d STF |d OCLCQ |d K6U |d LEAUB |d M8D |d VLY |d LUN |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 042 | |a dlr | ||
| 049 | |a TXMM | ||
| 050 | 4 | |a QA274.23 |b .A36 1983eb | |
| 082 | 0 | 4 | |a 519.2 |2 22 |
| 084 | |a SK 820 |2 rvk | ||
| 084 | |a MAT 606f |2 stub | ||
| 100 | 1 | |a Adomian, G. | |
| 245 | 1 | 0 | |a Stochastic systems / |c George Adomian. |
| 260 | |a New York : |b Academic Press, |c 1983. | ||
| 300 | |a 1 online resource (xvii, 331 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 Mathematics in science and engineering ; |v v. 169 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Stochastic Systems; Copyright Page; Contents; Foreword; Preface; Chapter 1. Green's Functions and Systems Theory; 1.1. Introduction: Some Remarks on the Mathematical Modeling of Dynamical Systems; 1.2. Linearity and Superposition; 1.3. The Concept of a Green's Function; 1.4. Simple Input-Output Systems and Green's Functions; 1.5. Operator Forms; 1.6. Green's Function for the Inhomogeneous Sturm-Liouville Operator; 1.7. Properties of the Green's Function; 1.8. Evaluation of the Wronskian; 1.9. Solution Using Abel's Formula | |
| 505 | 8 | |a 1.10. Use of Green's Function to Solve the Inhomogeneous Equation1.11. Adjoint Operators; 1.12. Green's Functions for Adjoint Operators; 1.13. Symbolic Functions; 1.14. Sturm-Liouville Differential Equation; 1.15. Boundary Conditions Specified on a Finite Interval [a, b]; 1.16. Series Expansions for G(x,?); 1.17. Multiple-Input-Multiple-Output Systems; 1.18. Bilinear Form of the Green's Function; 1.19. Bilinear Form of the Green's Function for the Sturm-Liouville Differential Equation; 1.20. Cases Where the Green's Function Does Not Exist; 1.21. Multidimensional Green's Functions | |
| 505 | 8 | |a 1.22. Green's Functions for Initial Conditions1.23. Approximate Calculation of Green's Functions; References; Chapter 2. A Basic Review of the Theory of Stochastic Processes; 2.1. The Nature of a Stochastic Process; 2.2. Stochastic Processes-Basic Definitions; 2.3. Characterization and Classification of Stochastic Processes; 2.4. Consistency Conditions on the Distribution; 2.5. Some Simple Stochastic Processes; 2.6. Time Dependences of Distributions; 2.7. Statistical Measures of Stochastic Processes; 2.8. Random Fields; 2.9. The Calculus of Stochastic Processes | |
| 505 | 8 | |a 2.10. Expansions of Random Functions2.11. Ergodic Theorems; 2.12. Generalized Random Processes; References; Chapter 3. Stochastic Operators and Stochastic Systems; 3.1. Stochastic Systems-Basic Concepts; 3.2. Stochastic Green's Functions; 3.3. Statistical Operators; 3.4. Stochastic Green's Theorem; 3.5. Determination of the Kernel from the Physical Process; References; Chapter 4. Linear Stochastic Differential Equations; 4.1. Stochastic Differential Operators; 4.2. The Differential Equation Formulation; 4.3. Derivation of Stochastic Green's Theorem; 4.4. Hierarchy or Averaging Method | |
| 505 | 8 | |a 4.5. Perturbation Theory4.6. Connection between Perturbation Theory and the Hierarchy Method; 4.7. The Decomposition Method; 4.8. Differential Operator with One Random Coefficient; 4.9. A Convenient Resolvent Kernel Formulation; 4.10. Inverse Operator Form of the Decomposition Method Solution; 4.11. Some Further Remarks on the Operator Identity (4.10.1); 4.12. General Form of the Stochastic Green's Function; 4.13. Random Initial Conditions; 4.14. Simplifying Green's Function Calculations for Higher Order Equations; References; Chapter 5. Nonlinear Stochastic Differential Equations | |
| 546 | |a English. | ||
| 500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
| 500 | |a EBSCO eBook EngineeringCore |5 TMurS | ||
| 500 | |a ScienceDirect eBook - Mathematics pre-2007 (Elsevier and Woodhead) |5 TMurS | ||
| 650 | 0 | |a Stochastic differential equations. | |
| 650 | 0 | |a Stochastic systems. | |
| 730 | 0 | |a WORLDSHARE SUB RECORDS | |
| 758 | |i has work: |a Stochastic systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTyBbdvXCKjCtF7kbdjT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Adomian, G. |t Stochastic systems. |d New York : Academic Press, ©1983 |z 9780120443703 |w (DLC) 82016392 |w (OCoLC)8786046 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 169. | |
| 856 | 4 | 0 | |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=296979&authtype=ip,sso&custid=s4672406 |z CONNECT |3 eBooks on EBSCOhost |t 0 |
| 856 | 4 | 0 | |u https://ezproxy.mtsu.edu/login?url=https://www.sciencedirect.com/science/bookseries/00765392/169 |z CONNECT |3 Elsevier |t 0 |
| 907 | |a 4762961 |b 05-23-21 |c 07-06-20 | ||
| 949 | |a ho0 | ||
| 994 | |a 92 |b TXM | ||
| 998 | |a wi |d z | ||
| 999 | f | f | |s 874afd32-82ad-4b40-8e2e-646216b2f2b2 |i b18da9ad-c9e4-4c4b-acc7-470acbe15f4b |t 0 |
| 952 | f | f | |a Middle Tennessee State University |b Main |c James E. Walker Library |d Electronic Resources |t 0 |e QA274.23 .A36 1983eb |h Library of Congress classification |
