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Differential and integral inequalities : theory and applications. Volume I, Ordinary differential equations /
Differential and integral inequalities; theory and applications PART A: Ordinary differential equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1969.
|
| Colección: | Mathematics in science and engineering ;
v. 55. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 245 | 0 | 0 | |a Differential and integral inequalities : |b theory and applications. |n Volume I, |p Ordinary differential equations / |c edited by V. Lakshmikantham and S. Leela. |
| 246 | 3 | 0 | |a Ordinary differential equations |
| 260 | |a New York : |b Academic Press, |c 1969. | ||
| 300 | |a 1 online resource (ix, 390 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 55 | |
| 504 | |a Includes bibliographical references (pages 355-384) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Differential and Integral Inequalities: Theory and Applications; Copyright Page; Contents; Preface; PART 1: ORDINARY DIFFERENTIAL EQUATIONS; Chapter 1.; 1.0. Introduction; 1.1. Existence and Continuation of Solutions; 1.2. Scalar Differential Inequalities; 1.3. Maximal and Minimal Solutions; 1.4. Comparison Theorems; 1.5. Finite Systems of Differential Inequalities; 1.6. Minimax Solutions; 1.7. Further Comparison Theorems; 1.8. Infinite Systems of Differential Inequalities; 1.9. Integral Inequalities Reducible to Differential Inequalities. | |
| 505 | 8 | |a 1.10. Differential Inequalities in the Sense of Caratheodory1.11. Notes; Chapter 2.; 2.0. Introduction; 2.1. Global Existence; 2.2. Uniqueness; 2.3. Convergence of Successive Approximations; 2.4. Chaplygin's Method; 2.5. Dependence on Initial Conditions and Parameters; 2.6. Variation of Constants; 2.7. Upper and Lower Bounds; 2.8. Componentwise Bounds; 2.9. Asymptotic Equilibrium; 2.10. Asymptotic Equivalence; 2.11. A Topological Principle; 2.12. Applications of Topological Principle; 2.13. Stability Criteria; 2.14. Asymptotic Behavior; 2.15 Periodic and Almost Periodic Systems; 2.16. Notes. | |
| 505 | 8 | |a Chapter 3.3.0. Introduction; 3.1. Basic Comparison Theorems; 3.2. Definitions; 3.3. Stability; 3.4. Asymptotic Stability; 3.5. Stability of Perturbed Systems; 3.6. Converse Theorems; 3.7. Stability by the First Approximation; 3.8. Total Stability; 3.9. Integral Stability; 3.10. L""-Stability; 3.11. Partial Stability; 3.12. Stability of Differential Inequalities; 3.13. Boundcdness and Lagrange Stability; 3.14. Eventual Stability; 3.15. Asymptotic Behavior; 3.16. Relative Stability; 3.17. Stability with Respect to a Manifold; 3.18. Almost Periodic Systems; 3.19. Uniqueness and Estimates. | |
| 505 | 8 | |a 3.20. Continuous Dependence and the Method of Averaging3.21. Notes; Chapter 4.; 4.0. Introduction; 4.1. Main Comparison Theorem; 4.2. Asymptotic Stability; 4.3. Instability; 4.4. Conditional Stability and Boundedness; 4.5. Converse Theorems; 4.6. Stability in Tube-like Domain; 4.7. Stability of Asymptotically Self-Invariant Sets; 4.8. Stability of Conditionally Invariant Sets; 4.9. Existence and Stability of Stationary Points; 4.10. Notes; PART 2: VOLTERRA INTEGRAL EQUATIONS; Chapter 5.; 5.0. Introduction; 5.1. Integral Inequalities; 5.2. Local and Global Existence; 5.3. Comparison Theorems. | |
| 505 | 8 | |a 5.4. Approximate Solutions, Bounds, and Uniqueness5.5. Asymptotic Behavior; 5.6. Perturbed Integral Equations; 5.7. Admissibility and Asymptotic Behavior; 5.8. Integrodifferential Inequalities; 5.9. Notes; Bibliography; Author Index; Subject Index. | |
| 520 | |a Differential and integral inequalities; theory and applications PART A: Ordinary differential equations. | ||
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 6 | |a In�egalit�es (Math�ematiques) |0 (CaQQLa)201-0028036 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Inequalities (Mathematics) |2 fast |0 (OCoLC)fst00972020 | |
| 700 | 1 | |a Lakshmikantham, V., |d 1926-2012. | |
| 700 | 1 | |a Leela, S. | |
| 776 | 0 | 8 | |i Print version: |t Differential and integral inequalities. |d New York : Academic Press, 1969 |z 9780124341012 |w (OCoLC)181657079 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 55. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780124341012 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/55/part/P1 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/issue/42415-1969-999449999.7998-744097 |z Texto completo |