Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 80, 2001 - Issue 3-4
Submit an article Journal homepage
36
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions

Chanane Bilal Mathematical Science Department, K.F.U.P.M., Dhaharan, 31261, Saudi Arabia
Pages 317-330 | Received 10 Jan 2001, Published online: 20 Feb 2008

  • Algazin , S.D. 1995 . Calculating the eigenvalues of ordinary differential equations . Comp. Maths Math. Phys. , 35 ( 4 ) : 477 – 482 .
  • Bailey , P.B. , Everitt , W.N. and Zettl , A. 1991 . “ Computing eigenvalues of singular Sturm-Liouville problems ” . In Results in Mathematics , Vol. 20 , Birkhauser Verlag .
  • Bailey , P.B. , Everitt , W.N. and Zettl , A. 1996 . Regular and singular Sturm-Liouville problems with coupled boundary conditions , Vol. 126 , 505 – 514 . Edinburgh : Proc. Royal Soc. . A
  • Bailey , P.B. , Gordon , M.K. and Shampine , L.F. 1978 . Automatic solution of the Sturm-Liouville problem . ACM Trans. Math. Software , 4 : 193 – 208 .
  • Boumenir , A. and Chanane , B. 1996 . Eignvalues of S-L systems using sampling theory . Applicable Analysis , 62 : 323 – 334 .
  • Boumenir , A. and Chanane , B. 1999 . Computing eigenvalues of Sturm-Liouville systems of bessel type . Proc.Edinburgh Math. Soc. , 42 : 257 – 265 .
  • Chanane , B. 1999 . Computing eigenvalues of regular Sturm-Liouville problems . Applied Math. Letters , 12 : 119 – 125 .
  • Chanane , B. 1998 . High order appoximations of the eigenvalues of regular Sturm-Liouvile problems . J. Math. Annl. and Appl. , 226 : 121 – 129 .
  • Chanane , B. 1998 . Eigenvalues of Sturm-Liouville problems using fliess series . Applicable Analysis , 63 ( 3–4 ) : 233 – 238 .
  • Xi Chen . 1996 . The shooting method for solving eigenvalue problems . J. Math. Anal. and Appl. , 203 ( 3–4 ) : 435 – 450 .
  • Everitt , W.N. 1982 . On the transformation theory of ordinary second order linear symmetric differential expressions . Czechoslovak Math. J. , 107 ( 32 ) : 275 – 305 .
  • Fulton , C.T. and Pruess , S.A. 1993 . Mathematical sofware for Sturm-Liouville problems . ACM Trans. Math. Software , 19 ( 32 ) : 360 – 376 .
  • Fulton , C.T. and Pruess , S.A. 1994 . Eigenvalue and eigenfunctions asymptotics for regular Sturm-Liouville problems . J. Math. Anal. Appl. , 188 ( 32 ) : 297 – 340 .
  • Hargrave , B.A. 1976 . Numerical approximation of eigenvalues of Sturm-Liouville systems . J. Computational Phys. , 20 ( 32 ) : 381 – 396 .
  • Harris , B.J. 1994 . Asymptotics of eigenvalues for regular Strum-Liouville problems . J. Math. Anal. and Appl. , 183 ( 32 ) : 25 – 36 .
  • Kong , Q. and Zettl , A. 1996 . Eigenvalues of reular Sturm-Liouville problems . J. Diff. Eqs. , 131 ( 32 ) : 1 – 19 .
  • Marletta , M. and Pryce , J.D. 1992 . Automatic solution of Sturm-Liouville problems using the Pruess method . J. Computational and Applied Mathematics , 39 ( 32 ) : 57 – 78 .
  • Naimark M.A. Linear Differential Operators 1968 Part II. Ungar.
  • Pryce , J.D. 1993 . Oxford Science Publication . Clarendon Press
  • (2001). SLEIGN2 www.math.niu.edu, zettl, SL2.
  • Zayed , A.I. 1993 . Advances in Shannon's Sampling Theory , CRC Press .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.