Publication Cover
Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 12
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Original Articles

Separation of the two dimensional Grushin operator by the disconjugacy property

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Pages 2133-2143 | Received 24 Nov 2010, Accepted 22 May 2011, Published online: 30 Jun 2011

References

  • Hartman , P . 1982 . Ordinary Differential Equations, , , 2 , Birkhauser Boston : Stuttgart .
  • Coppel , WA . 1971 . “ Disconjugacy ” . In Lecture Notes in Mathematics , Edited by: Dold , A. and Echman , B. Vol. 220 , Berlin, Heidelbarg, New York : Springer-Veriag .
  • Brown , RC . 2003 . Separation and disconjugacy . J. Inequal. Pure Appl. Math. , 4 ( 3 ) (16 pages) Art. 56
  • Brown , RC . 2003 . Certain properties of positive solutions of disconjugate second order differential expressions . J. Inequal. Pure Appl. Math. , 4 ( 3 )
  • Brown , RC . 2000 . Some Separation Criteria and Inequalities Associated with Linear Second Order Differential Operators , New Delhi : Narosa Publishing House .
  • Atia , HA and Mahmoud , RA . 2009 . Separation of two dimensional Laplace operator by disconjugacy property . Panamerican Math. J. , 20 ( 2 ) : 93 – 103 .
  • Everitt , WN and Giertz , M . 1971 . Some properties of the domains of certain differential operators . Proc. London Math. Soc. , 23 : 301 – 324 .
  • Mohamed , AS and Atia , HA . 2004 . Separation of the Sturm--Liouville differential operator with an operator potential . Appl. Math. Comput. , 156 ( 2 ) : 387 – 394 .
  • Mohamed , AS and Atia , HA . 2005 . Separation of the Schrodinger operator with an operator potential in the Hilbert spaces . Appl. Anal. , 84 ( 1 ) : 103 – 110 .
  • Mohamed , AS and Atia , HA . 2007 . Separation of Laplace-Beltrami differential operator with an operator potential . J. Math. Anal. Appl. , 336 : 81 – 92 .

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