Basic topological structures of ordinary differential equations

Basic topological structures of ordinary differential equations

by Filippov, V. V., (Vladimir Vasilʹevich)

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Title Statements

  • Full title :Basic topological structures of ordinary differential equations / by V.V. Filippov.

Edition Statements

  • Publication Date:©1998.

Publication Statements

The Physical Object

  • Description:xiv, 516 pages ; : 25 cm

Edition Identifiers

  • ISBN:0792349512, 9780792349518
  • oclc:ocm38144349
  • LC Classification:QA372
  • Dewey Decimal:515/.35

Table of Contents

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 L[subscript 1] 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

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Subjects

Differential equations Differential inclusions Équations différentielles Gewöhnliche Differentialgleichung Inclusions différentielles Topologie Topologische Struktur Topology

Writers

Filippov, V. V., (Vladimir Vasilʹevich)

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