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Global existence without uniqueness

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Publication:758604
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DOI10.1007/BF02411978zbMath0268.34006MaRDI QIDQ758604

Stephen R. Bernfeld

Publication date: 1971

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)



Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20)


Related Items (3)

Relation between ultimate boundedness and radially unbounded Liapunov function ⋮ Continuation results for differential equations by two Liapunov functions ⋮ Continuation results for differential equations without uniqueness by two Liapunov functions



Cites Work

  • Stability by Liapunov's direct method. With applications
  • On the fundamental theory of ordinary differential equations
  • On the global existence of solutions and Liapunov functions
  • On the Fundamental Theory of Differential Equations
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