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

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 .
   Google Scholar
• 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 .
   Google Scholar
• Ince , E.L. 1956 . Ordinary Differential Equations , New York : Dover Publications .
   Google Scholar
• Kamke , E. 1939 . A new proof of Sturm's comparison theorems . Amer. Math. Monthly , 46 : 417 – 421 .
   Google Scholar
• Walter , Leighton . 1968 . Some elementary Sturm theory . Journal of Diff. Eq. , 4 : 187 – 193 .
   Google Scholar
• 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
   Google Scholar
• Sturm , J.C.F. 1836 . J. de Math. , 1 : 106
   Google Scholar