Table of contents for Basic topological structures of ordinary differential equations / by V.V. Filippov.
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Preface. 1. Topological and Metric Spaces. 2. Some Properties of Topological, Metric and Euclidean Spaces. 3. Spaces of Mappings and Spaces of Compact Subsets. 4. Derivation and Integration. 5. Weak Topology on the Space L1 and Derivation of Convergent Sequences. 6. Basic Properties of Solution Spaces. 7. Convergent Sequences of Solution Spaces. 8. Peano, Caratheodory and Davy Conditions. 9. Comparison Theorem. 10. Changes of Variables, Morphisms and Maximal Extensions. 11. Some Methods of Investigation of Equations. 12. Equations and Inclusions with Complicated Discontinuities in the Space Variables. 13. Equations and Inclusions of Second Order. Cauchy Problem Theory. 14. Equations and Inclusions of Second Order. Periodic Solutions, Dirichlet Problem. 15. Behavior of Solutions. 16. Two-Dimensional Systems. References. Index. Notation.
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