Random differential inequalities /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1980.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 150. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | 1 online resource (xi, 211 pages) |
| Bibliographie: | Includes bibliographical references (pages 202-205) and index. |
| ISBN: | 9780124327504 0124327508 9780080956589 0080956580 1282290088 9781282290082 9786612290084 6612290080 |
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| 245 | 1 | 0 | |a Random differential inequalities / |c G.S. Ladde and V. Lakshmikantham. |
| 260 | |a New York : |b Academic Press, |c 1980. | ||
| 300 | |a 1 online resource (xi, 211 pages) | ||
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| 490 | 1 | |a Mathematics in science and engineering ; |v v. 150 | |
| 504 | |a Includes bibliographical references (pages 202-205) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Random Differential Inqualities; Copyright Page; Contents; Preface; Notations and Abbreviations; CHAPTER 1. Preliminary Analysis; 1.0 Introduction; 1.1 Events and Probability Measure; 1.2 Random Variables, Distribution Functions, and Expectations; 1.3 Convergence of Random Sequences; 1.4 Conditional Probabilities and Expectations; 1.5 Random Processes; 1.6 Separability of Random Processes; 1.7 Deterministic Comparison Theorems; Notes; CHAPTER 2. Sample Calculus Approach; 2.0 Introduction; 2.1 Sample Calculus; 2.2 Existence and Continuation; 2.3 Random Differential Inequalities | |
| 505 | 8 | |a 2.4 Maximal and Minimal Solutions2.5 Random Comparison Principle; 2.6 Uniqueness and Continuous Dependence; 2.7 The Method of Variation of Parameters; 2.8 Random Lyapunov Functions; 2.9 Scope of Comparison Principle; 2.10 Stability Concepts; 2.11 Stability in Probability; 2.12 Stability with Probability One; 2.13 Stability in the pth Mean; Notes; CHAPTER 3. Lp-calculus Approach; 3.0 Introduction; 3.1 Lp-Calculus; 3.2 Interrelationships between Sample and LP-Solutions; 3.3 Existence and Uniqueness; 3.4 Continuous Dependence; 3.5 Comparison Theorems; 3.6 Stability Criteria; Notes | |
| 505 | 8 | |a CHAPTER 4. Itô-Doob Calculus Approach4.0 Introduction; 4.1 Itô's Calculus; 4.2 Existence and Uniqueness; 4.3 Continuous Dependence; 4.4 The Method of Variation of Parameters; 4.5 Stochastic Differential Inequalities; 4.6 Maximal and Minimal Solutions; 4.7 Comparison Theorems; 4.8 Lyapunov-Like Functions; 4.9 Stability in Probability; 4.10 Stability in the pth Mean; 4.11 Stability with Probability One; Notes; Appendix; A.0. Introduction; A.1 Moments of Random Functions; A.2 Spectral Representations of Covariance and Correlation Functions; A.3 Some Properties of Gaussian Processes | |
| 505 | 8 | |a A.4 Brownian MotionA. 5 Martingales; A.6 Metrically Transitive Processes; A.7 Markov Processes; A.8 Closed Graph Theorem; Notes; References; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Stochastic differential equations. |0 http://id.loc.gov/authorities/subjects/sh85128177 | |
| 650 | 0 | |a Differential inequalities. |0 http://id.loc.gov/authorities/subjects/sh85037919 | |
| 650 | 6 | |a Équations différentielles stochastiques. | |
| 650 | 6 | |a Inégalités différentielles. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential inequalities |2 fast | |
| 650 | 7 | |a Stochastic differential equations |2 fast | |
| 650 | 1 | 7 | |a Random walks (statistiek) |2 gtt |
| 650 | 1 | 7 | |a Gewone differentiaalvergelijkingen. |2 gtt |
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| 776 | 0 | 8 | |i Print version: |a Ladde, G.S. |t Random differential inequalities. |d New York : Academic Press, ©1980 |z 9780124327504 |w (DLC) 80000521 |w (OCoLC)6555666 |
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| _version_ | 1816881689257836544 |
| adam_text | |
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| author | Ladde, G. S. |
| author2 | Lakshmikantham, V., 1926-2012 |
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| author_GND | http://id.loc.gov/authorities/names/n80082687 |
| author_facet | Ladde, G. S. Lakshmikantham, V., 1926-2012 |
| author_role | |
| author_sort | Ladde, G. S. |
| author_variant | g s l gs gsl |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA274 |
| callnumber-raw | QA274.23 .L32 1980eb |
| callnumber-search | QA274.23 .L32 1980eb |
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| contents | Front Cover; Random Differential Inqualities; Copyright Page; Contents; Preface; Notations and Abbreviations; CHAPTER 1. Preliminary Analysis; 1.0 Introduction; 1.1 Events and Probability Measure; 1.2 Random Variables, Distribution Functions, and Expectations; 1.3 Convergence of Random Sequences; 1.4 Conditional Probabilities and Expectations; 1.5 Random Processes; 1.6 Separability of Random Processes; 1.7 Deterministic Comparison Theorems; Notes; CHAPTER 2. Sample Calculus Approach; 2.0 Introduction; 2.1 Sample Calculus; 2.2 Existence and Continuation; 2.3 Random Differential Inequalities 2.4 Maximal and Minimal Solutions2.5 Random Comparison Principle; 2.6 Uniqueness and Continuous Dependence; 2.7 The Method of Variation of Parameters; 2.8 Random Lyapunov Functions; 2.9 Scope of Comparison Principle; 2.10 Stability Concepts; 2.11 Stability in Probability; 2.12 Stability with Probability One; 2.13 Stability in the pth Mean; Notes; CHAPTER 3. Lp-calculus Approach; 3.0 Introduction; 3.1 Lp-Calculus; 3.2 Interrelationships between Sample and LP-Solutions; 3.3 Existence and Uniqueness; 3.4 Continuous Dependence; 3.5 Comparison Theorems; 3.6 Stability Criteria; Notes CHAPTER 4. Itô-Doob Calculus Approach4.0 Introduction; 4.1 Itô's Calculus; 4.2 Existence and Uniqueness; 4.3 Continuous Dependence; 4.4 The Method of Variation of Parameters; 4.5 Stochastic Differential Inequalities; 4.6 Maximal and Minimal Solutions; 4.7 Comparison Theorems; 4.8 Lyapunov-Like Functions; 4.9 Stability in Probability; 4.10 Stability in the pth Mean; 4.11 Stability with Probability One; Notes; Appendix; A.0. Introduction; A.1 Moments of Random Functions; A.2 Spectral Representations of Covariance and Correlation Functions; A.3 Some Properties of Gaussian Processes A.4 Brownian MotionA. 5 Martingales; A.6 Metrically Transitive Processes; A.7 Markov Processes; A.8 Closed Graph Theorem; Notes; References; Index |
| ctrlnum | (OCoLC)316568299 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/5 |
| dewey-search | 515.3/5 |
| dewey-sort | 3515.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn316568299 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
| institution | BVB |
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| publishDateSearch | 1980 |
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| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Ladde, G. S. http://id.loc.gov/authorities/names/n80082687 Random differential inequalities / G.S. Ladde and V. Lakshmikantham. New York : Academic Press, 1980. 1 online resource (xi, 211 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 150 Includes bibliographical references (pages 202-205) and index. Print version record. Front Cover; Random Differential Inqualities; Copyright Page; Contents; Preface; Notations and Abbreviations; CHAPTER 1. Preliminary Analysis; 1.0 Introduction; 1.1 Events and Probability Measure; 1.2 Random Variables, Distribution Functions, and Expectations; 1.3 Convergence of Random Sequences; 1.4 Conditional Probabilities and Expectations; 1.5 Random Processes; 1.6 Separability of Random Processes; 1.7 Deterministic Comparison Theorems; Notes; CHAPTER 2. Sample Calculus Approach; 2.0 Introduction; 2.1 Sample Calculus; 2.2 Existence and Continuation; 2.3 Random Differential Inequalities 2.4 Maximal and Minimal Solutions2.5 Random Comparison Principle; 2.6 Uniqueness and Continuous Dependence; 2.7 The Method of Variation of Parameters; 2.8 Random Lyapunov Functions; 2.9 Scope of Comparison Principle; 2.10 Stability Concepts; 2.11 Stability in Probability; 2.12 Stability with Probability One; 2.13 Stability in the pth Mean; Notes; CHAPTER 3. Lp-calculus Approach; 3.0 Introduction; 3.1 Lp-Calculus; 3.2 Interrelationships between Sample and LP-Solutions; 3.3 Existence and Uniqueness; 3.4 Continuous Dependence; 3.5 Comparison Theorems; 3.6 Stability Criteria; Notes CHAPTER 4. Itô-Doob Calculus Approach4.0 Introduction; 4.1 Itô's Calculus; 4.2 Existence and Uniqueness; 4.3 Continuous Dependence; 4.4 The Method of Variation of Parameters; 4.5 Stochastic Differential Inequalities; 4.6 Maximal and Minimal Solutions; 4.7 Comparison Theorems; 4.8 Lyapunov-Like Functions; 4.9 Stability in Probability; 4.10 Stability in the pth Mean; 4.11 Stability with Probability One; Notes; Appendix; A.0. Introduction; A.1 Moments of Random Functions; A.2 Spectral Representations of Covariance and Correlation Functions; A.3 Some Properties of Gaussian Processes A.4 Brownian MotionA. 5 Martingales; A.6 Metrically Transitive Processes; A.7 Markov Processes; A.8 Closed Graph Theorem; Notes; References; Index English. Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential inequalities. http://id.loc.gov/authorities/subjects/sh85037919 Équations différentielles stochastiques. Inégalités différentielles. MATHEMATICS Differential Equations General. bisacsh Differential inequalities fast Stochastic differential equations fast Random walks (statistiek) gtt Gewone differentiaalvergelijkingen. gtt Lakshmikantham, V., 1926-2012. https://id.oclc.org/worldcat/entity/E39PBJh4xDkWxv4CWJ6trPKWXd Print version: Ladde, G.S. Random differential inequalities. New York : Academic Press, ©1980 9780124327504 (DLC) 80000521 (OCoLC)6555666 Mathematics in science and engineering ; v. 150. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/150 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297108 Volltext |
| spellingShingle | Ladde, G. S. Random differential inequalities / Mathematics in science and engineering ; Front Cover; Random Differential Inqualities; Copyright Page; Contents; Preface; Notations and Abbreviations; CHAPTER 1. Preliminary Analysis; 1.0 Introduction; 1.1 Events and Probability Measure; 1.2 Random Variables, Distribution Functions, and Expectations; 1.3 Convergence of Random Sequences; 1.4 Conditional Probabilities and Expectations; 1.5 Random Processes; 1.6 Separability of Random Processes; 1.7 Deterministic Comparison Theorems; Notes; CHAPTER 2. Sample Calculus Approach; 2.0 Introduction; 2.1 Sample Calculus; 2.2 Existence and Continuation; 2.3 Random Differential Inequalities 2.4 Maximal and Minimal Solutions2.5 Random Comparison Principle; 2.6 Uniqueness and Continuous Dependence; 2.7 The Method of Variation of Parameters; 2.8 Random Lyapunov Functions; 2.9 Scope of Comparison Principle; 2.10 Stability Concepts; 2.11 Stability in Probability; 2.12 Stability with Probability One; 2.13 Stability in the pth Mean; Notes; CHAPTER 3. Lp-calculus Approach; 3.0 Introduction; 3.1 Lp-Calculus; 3.2 Interrelationships between Sample and LP-Solutions; 3.3 Existence and Uniqueness; 3.4 Continuous Dependence; 3.5 Comparison Theorems; 3.6 Stability Criteria; Notes CHAPTER 4. Itô-Doob Calculus Approach4.0 Introduction; 4.1 Itô's Calculus; 4.2 Existence and Uniqueness; 4.3 Continuous Dependence; 4.4 The Method of Variation of Parameters; 4.5 Stochastic Differential Inequalities; 4.6 Maximal and Minimal Solutions; 4.7 Comparison Theorems; 4.8 Lyapunov-Like Functions; 4.9 Stability in Probability; 4.10 Stability in the pth Mean; 4.11 Stability with Probability One; Notes; Appendix; A.0. Introduction; A.1 Moments of Random Functions; A.2 Spectral Representations of Covariance and Correlation Functions; A.3 Some Properties of Gaussian Processes A.4 Brownian MotionA. 5 Martingales; A.6 Metrically Transitive Processes; A.7 Markov Processes; A.8 Closed Graph Theorem; Notes; References; Index Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential inequalities. http://id.loc.gov/authorities/subjects/sh85037919 Équations différentielles stochastiques. Inégalités différentielles. MATHEMATICS Differential Equations General. bisacsh Differential inequalities fast Stochastic differential equations fast Random walks (statistiek) gtt Gewone differentiaalvergelijkingen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85128177 http://id.loc.gov/authorities/subjects/sh85037919 |
| title | Random differential inequalities / |
| title_auth | Random differential inequalities / |
| title_exact_search | Random differential inequalities / |
| title_full | Random differential inequalities / G.S. Ladde and V. Lakshmikantham. |
| title_fullStr | Random differential inequalities / G.S. Ladde and V. Lakshmikantham. |
| title_full_unstemmed | Random differential inequalities / G.S. Ladde and V. Lakshmikantham. |
| title_short | Random differential inequalities / |
| title_sort | random differential inequalities |
| topic | Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential inequalities. http://id.loc.gov/authorities/subjects/sh85037919 Équations différentielles stochastiques. Inégalités différentielles. MATHEMATICS Differential Equations General. bisacsh Differential inequalities fast Stochastic differential equations fast Random walks (statistiek) gtt Gewone differentiaalvergelijkingen. gtt |
| topic_facet | Stochastic differential equations. Differential inequalities. Équations différentielles stochastiques. Inégalités différentielles. MATHEMATICS Differential Equations General. Differential inequalities Stochastic differential equations Random walks (statistiek) Gewone differentiaalvergelijkingen. |
| url | https://www.sciencedirect.com/science/bookseries/00765392/150 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297108 |
| work_keys_str_mv | AT laddegs randomdifferentialinequalities AT lakshmikanthamv randomdifferentialinequalities |