An Introduction to Ordinary Differential Equations
This textbook provides a rigorous and lucid introduction to the theory of ordinary differential equations (ODEs), which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines. Key Features of this textbook: Effectively organizes the subject...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Colección: | Universitext
|
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 338 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan, New York, Springer, 2008, 1 vol. (XII-321 p.), Universitext, 978-0-387-71275-8 |
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| 100 | 1 | |a Agarwal, Ravi P., |d 1947-...., |c mathématicien. | |
| 245 | 1 | 0 | |a An Introduction to Ordinary Differential Equations |c Ravi P. Agarwal, Donal O'Regan. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Universitext | |
| 500 | |a L'impression du document génère 338 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Historical Notes Exact Equations Elementary First-Order Equations First-Order Linear Equations Second-Order Linera Equations Preliminaries to Existence and Uniqueness of Solutions Picard#x0027;s Method of Successive Approximations Existence Theorems Uniqueness Theorems Differential Inequalities Continuous Dependence on Initial Conditions Preliminary Results from Algebra and Analysis Preliminary Results from Algebra and Analysis (Contd.) Existence and Uniqueness of Solutions of Systems Existence and Uniqueness of Solutions of Systems (Contd.) General Properties of Linear Systems Fundamental Matrix Solution Systems with Constant Coefficients Periodic Linear Systems Asymptotic Behavior of Solutions of Linear Systems Asymptotic Behavior of Solutions of Linear Systems (Contd.) Preliminaries to Stability of Solutions Stability of Quasi-Linear Systems Two-Dimensional Autonomous Systems Two-Dimensional Autonomous Systems (Contd.) Limit Cycles and Periodic Solutions Lyapunov#x0027;s Direct Method for Autonomous Systems Lyapunov#x0027;s Direct Method for Nonautonomous Systems Higher-Order Exact and Adjoint Equations Oscillatory Equations Linear Boundary Value Problems Green#x0027;s Functions Degenerate Linear Boundary Value Problems Maximum Principles Sturm#x2014;Liouville Problems Sturm#x2013;Liouville Problems (Contd.) Eigenfunction Expansions Eigenfunction Expansions (Contd.) Nonlinear Boundary Value Problems Nonlinear Boundary Value Problems (Contd.) Topics for Further Studies | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This textbook provides a rigorous and lucid introduction to the theory of ordinary differential equations (ODEs), which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines. Key Features of this textbook: Effectively organizes the subject into easily manageable sections in the form of 42 class-tested lectures Provides a theoretical treatment by organizing the material around theorems and proofs Uses detailed examples to drive the presentation Includes numerous exercise sets that encourage pursuing extensions of the material, each with an "answers or hints" section Covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics Provides excellent grounding and inspiration for future research contributions to the field of ODEs and related areas This book is ideal for a senior undergraduate or a graduate-level course on ordinary differential equations. Prerequisites include a course in calculus. Series: Universitext Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 14 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations | ||
| 650 | |a Équations différentielles | ||
| 700 | 1 | |a O'Regan, Donal, |d 1959- |4 aut | |
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