Publication Cover
Applicable Analysis
An International Journal
Volume 4, 1975 - Issue 4
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Original Articles

Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations

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Pages 343-352 | Received 16 Jul 1970, Published online: 02 May 2007

References

  • Sturm , C. 1836 . Sur les equations dinerentielles lineaires du seconde ordre . J. Math, Pares Appl. , 1 : 106 – 186 .
  • Picone , M. 1909 . Sui valori eccezionali di un parametro da cui depende un'equazione differenziale lineare ordinaria del secondo-ordme . Ann, Scuola Norm, Sup. Pisa. , 11 : 39
  • Bocher , M. 1917 . Lecons sur les methodes de Sturm , Paris : Gauthier-Villars .
  • Picone , M. 1911 . Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine . Atti Accad. Naz. Lincei Rend. , 20 : 213 – 219 .
  • Cimmlno , G. 1929 . Estensione dell'identita di Picone alia piu generate equazione differenziale lineare ordinaria auto-aggiunta . Atti Accad. Naz. Lincei Rend. , 9 : 524 – 526 .
  • Cimmino , G. 1930 . Autosoluzioni e autovalori nelle equazioni differenziali lineari ordinarie autoaggiunte di ordine sueriore . Math. Z. , 32 : 4 – 58 .
  • Leighton , W. and Nehari , Z. 1958 . On the oscillation of solutions of self-adjoint linear uiiierentiai equations oi the iourtii order . Trufts. Amev. Math. Soc. , 89 : 325 – 377 .
  • Kreith , K. 1969 . A comparison theorem for fourth order differential equations . Atti Accad, Naz, Lincei Rend. , 46 : 664 – 666 .
  • Cimmino , G. 1930 . Sulle equazioni lineari ellittiche autoaggiunte alle derivate parziali di ordine superiore ai secondo . Atti Accad. Naz. Lincei Mem. , 1 : 59 – 69 .
  • Swanson , C.A. 1966 . A generalization of Sturm's comparison theorem . J. Math. Anal. Appl. , 15 : 512 – 519 .

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