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|a UAMI
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1 |
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|a Adomian, G.
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|a Stochastic systems /
|c George Adomian.
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| 260 |
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|a New York :
|b Academic Press,
|c 1983.
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| 300 |
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|a 1 online resource (xvii, 331 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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|a Mathematics in science and engineering ;
|v v. 169
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| 504 |
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|a Includes bibliographical references and index.
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| 588 |
0 |
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|a Print version record.
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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| 533 |
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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| 538 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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| 583 |
1 |
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
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| 505 |
0 |
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|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
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| 505 |
8 |
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|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
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| 505 |
8 |
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|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
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| 505 |
8 |
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|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
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| 505 |
8 |
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|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
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| 546 |
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|a English.
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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0 |
|a Stochastic differential equations.
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| 650 |
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0 |
|a Stochastic systems.
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| 650 |
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6 |
|a Équations différentielles stochastiques.
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| 650 |
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6 |
|a Systèmes stochastiques.
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| 650 |
|
7 |
|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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| 650 |
|
7 |
|a Stochastic differential equations
|2 fast
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| 650 |
|
7 |
|a Stochastic systems
|2 fast
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| 650 |
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7 |
|a Stochastische Differentialgleichung
|2 gnd
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| 650 |
|
7 |
|a Stochastisches System
|2 gnd
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| 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 |
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