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Applicable Analysis
An International Journal
Volume 2, 1972 - Issue 4
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Original Articles

Sturm comparison and separation theorems for linear, second order, self-adjoint, ordinary, differential equations and for first order systems

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Pages 355-376 | Published online: 10 May 2007

References

  • Diaz , J. B. and Joyce R , Mclaughlin . 1969 . Sturm comparison theorems for ordinary and partial differential equations . Bull. Amer. Math. Soc. , 75 : 335 – 339 .
  • Diaz , J. B. and Joyce R , Mclaughlin . 1969 . Sturm separation and comparison theorems for ordinary and partial differential equations . Atti Acc. Naz. dei Lincei, Memorie, Cl. Sci. fis. mat. nat. , 9 : 134 – 194 .
  • Ince , E.L. 1956 . Ordinary Differential Equations , New York : Dover Publications .
  • Kamke , E. 1939 . A new proof of Sturm's comparison theorems . Amer. Math. Monthly , 46 : 417 – 421 .
  • Walter , Leighton . 1968 . Some elementary Sturm theory . Journal of Diff. Eq. , 4 : 187 – 193 .
  • Picone , M. 1909 . Sui valori eccezionali di un parametro da cui dipende un'equazione differenziale lineare ordinaria del second'ordine . Annali della R. Scuola Normale Superiore di Pisa , 2 : 1
  • Sturm , J.C.F. 1836 . J. de Math. , 1 : 106

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