Ordinary differential equations with application / Carmen Chicone. (Record no. 22663)
| 000 -LEADER | |
|---|---|
| fixed length control field | 02262nam a2200241 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031516511 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.35 |
| Item number | C533o 2024 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Chicone, Carmen, author. |
| 245 ## - TITLE STATEMENT | |
| Title | Ordinary differential equations with application / Carmen Chicone. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham, Switzeland : |
| Name of publisher | Springer Nature Switzerland AG, |
| Year of publication | c2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource, vii, 729 pages : |
| Other physical details | illustrations. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Text in Applied Mathematics. |
| 500 ## - GENERAL NOTE | |
| General note | includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov’s center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev’s formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Applied Mahematics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Equations. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bloch, Anthony, editor. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Epstien, Charles L., editor. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Goreily, Alain, editor |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Greenland, Leslie, editor. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Electronic Books |
| Source of acquisition | Permanent Location | Date acquired | Collection code | Koha item type | Lost status | Shelving location | Withdrawn status | Current Location | Full call number |
|---|---|---|---|---|---|---|---|---|---|
| Donation | Cagayan State University - Carig Library | 2026-04-16 | E-Books | Electronic Books | E-Resource Section | Cagayan State University - Carig Library | 515.35 C533o 2024 |