Publication Cover
Applicable Analysis
An International Journal
Volume 5, 1975 - Issue 2
62
Views
36
CrossRef citations to date
0
Altmetric
Original Articles

Flow-invariant sets and differential inequalities in normed spacesFootnote

&
Pages 149-161 | Published online: 02 May 2007

References

  • Bittner , L. 1968 . Die elementaren Differential- und Integralungleichungen mit einem allgemeinen Ungleichungsbegriff . Math. Nachr , 38 : 1 – 17 .
  • Bony , J.M. 1969 . Principe du maximum, inegalite de Harnack et unicite du probleme de Cauchy pour les operateurs elliptiques degeneres . Ann. Inst. Fourier Grenoble , 19 : 277 – 304 .
  • Brezis , H. 1970 . On a characterization of flow-invariant sets . Co minim. Pure Appl. Math , 23 : 261 – 263 .
  • Crandall , M.G. 1970 . A generalization of Peano's theorem and flow invariance . MRC Technical summary Report , 1228
  • Hartman , P. 1972 . On invariant sets and on a theorem of Wazewski . Proceedings Amer. Math. Soc , 32 : 511 – 520 .
  • Martin , R.H. 1972 . Differential equations on closed subsets of a Banach space . Trans-actions A .M.S , 32
  • Redheffer , R.M. 1972 . Gewohnliche Differentialungleichungen mit quasimonotonen Funktionen in normierten linearen Raumen . Arch. Rational Mech. Anal , 32
  • Redheffer , R.M. 1972 . The theorems of Bony and Brezis on flow-invariant sets . Amer. Math.Monthly , 79 : 740 – 747 .
  • Redheffer , R.M. 1971 . Differentialungleichungen . Lecture Notes , 79
  • Szarski , J. 1965 . Differential inequalities . Monografie Matematyczne, Tom , 43
  • Volkmann , P. 1972 . Gewohnliche Differentialungleichugen mit quasimonoton wachsenden Funktionen in toplogischen Vektorraumen . Math. Zeitschr , 127 : 157 – 164 .
  • Volkmann , P. 1972 . Uber die Invarianz konvexer Mengen und Differentialungleichungen in normierten Raumen . Math. Annalen , 127
  • Walter , W. 1970 . Differential and Integral Inequalities . Ergebnisse der Mathematik und Hirer Grenzgebiete , 55
  • Walter , W. 1969 . Gewohnliche Differential-Ungleichungen im Banachraum . Arch. Math , 20 : 36 – 47 .
  • Walter , W. 1971 . Ordinary differential inequalities in ordered Banach spaces . J. Differential Equations , 9 : 253 – 261 .
  • Walter , W. 1972 . Some new aspects of the line method for parabolic differential equations . Conference on the theory of ordinary and partial differential equations . 1972 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.