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Positive invariance and a Wazewski Theorem

Invited Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 415)

Keywords

  • Differential Equation
  • Continuous Function
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Differential Inequality

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References

  1. J. Bebernes and J. Schuur, The Wazewski topological method for contingent equations, Ann. Mat. Para Appl. 87(1970), 271–280.

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  2. J. Bebernes and W. Kelley, Some boundary value problems for generalized differential equations, SIAM J. Appl. Math., 25(1973), 16–23.

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  3. M. Nagumo, Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen, Proc. Phys.-Math. Soc. Japan 24(1942), 551–559.

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  4. R. Redheffer and W. Walter, Flow invariant sets and differential inequalities in normed spaces, to appear.

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  5. T. Ważewski, Une méthode topologique de l'examen du phénomène asymptotique relativement aux équations differentielles ordinaires, Rend. Accad. Lincei (8) 3(1947), 210–215.

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  6. J. Yorke, Invariance for ordinary differential equations, Math. Systems Theory 1(1967), 353–372.

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© 1974 Springer-Verlag

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Bebernes, J. (1974). Positive invariance and a Wazewski Theorem. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065509

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  • DOI: https://doi.org/10.1007/BFb0065509

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

  • eBook Packages: Springer Book Archive