| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA371.SPR FCT 82963 (Browse shelf) | 1 | Available |
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| QA371.SPR FCT 82844 A first course in ordinary differential equations | QA371.SPR FCT 82846 Sequence spaces and measures of noncompactness with applications to differential and integral equations | QA371.SPR FCT 82847 Periodic solutions of first-order functional differential equations in population dynamics | QA371.SPR FCT 82963 Ordinary differential equations and dynamical systems | QA371.SPR FCT 82977 Theory of causal differential equations | QA371.SPR FCT 95651 An introduction to ordinary differential equations | QA371.5.SPR FCT 82214 Approximate and renormgroup symmetries |
Colocação: Online
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
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