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  • 1
    Online-Ressource
    Online-Ressource
    Differential and integral inequalities : theory and applications.; Volume I,: Ordinary differential equations / (1969)
    New York :Academic Press,
    Details
    UID:
    almafu_9958099739602883
    Umfang: 1 online resource (405 p.)
    ISBN: 1-282-28911-X , 9786612289118 , 0-08-095563-0
    Serie: Mathematics in science and engineering ; v. 55I
    Inhalt: Differential and integral inequalities; theory and applications PART A: Ordinary differential equations
    Anmerkung: Description based upon print version of record. , 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 , 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 , 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 , 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 , 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 , English
    Weitere Ausg.: ISBN 0-12-434101-2
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    HU Berlin
    FU Berlin
    Charité
  • 2
    Online-Ressource
    Online-Ressource
    Differential and integral inequalities : theory and applications Volume 1 (1969)
    New York : Academic Press
    Details
    UID:
    gbv_1655653431
    Umfang: Online Ressource (ix, 390 pages)
    ISBN: 9780124341012 , 9780080955636 , 0080955630
    Serie: Mathematics in science and engineering v. 55
    Inhalt: Differential and integral inequalities; theory and applications PART A: Ordinary differential equations
    Anmerkung: Includes bibliographical references (pages 355-384) and indexes. - Print version record , Front Cover; Differential and Integral Inequalities: Theory and Applications; Copyright Page; Preface; Contents; PART 1: ORDINARY DIFFERENTIAL EQUATIONS; Chapter 1.; Chapter 2.; Chapter 3.; Chapter 4.; PART 2: VOLTERRA INTEGRAL EQUATIONS; Chapter 5.; Bibliography; Author Index; Subject Index.
    Weitere Ausg.: ISBN 9780124341012
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Differential and integral inequalities New York : Academic Press, 1969
    Sprache: Englisch
    Schlagwort(e): Electronic books
    URL: Volltext
    URL: lizenzpflichtig
    URL: lizenzpflichtig
    Mehr zum Autor: Leela, Srinivasa 1936-
    Mehr zum Autor: Lakshmikantham, Vangipuram 1926-2012
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Stabi Berlin
    UB Potsdam
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