132
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition

&
Pages 215-226 | Received 01 Oct 2006, Published online: 14 Oct 2010

References

  • Čiegis , R. Parallel LOD scheme for 3D parabolic problem with nonlocal boundary condition . Lecture notes in computer science, International conference EurPar2006 . September 1–5 2006 , Dresden, Germany. Edited by: Nagel , W.E. volume 4128 , pp. 679 – 688 . Springer . Revised Papers.
  • Čiegis , R. 2006 . Parallel numerical algorithms for 3D parabolic problem with nonlocal boundary condition . Informatica , 17 (3) : 309 – 324 .
  • Čiegis , R. , Štikonas , A. , Štikoniene , O. and Suboč , O. 2001 . Stationary problems with nonlocal boundary conditions . Mathematical Modelling and Analysis , 6 (2) : 178 – 191 .
  • Čiupaila , R. , Jesevičiūte , Ž. and Sapagovas , M. 2004 . Eigenvalue problem for ordinary differential operator subject to integer condition . Nonlinear Analysis: Modelling and Control , 9 (2)
  • Greenberg , L. and Marletta , M. 2001 . Numerical solution of non‐self‐adjoint Sturm‐Liouville problems and related systems . SIAM Journal on Numerical Analysis , 38 (6) : 1800 – 1845 .
  • Infante , G. 2003 . Eigenvalues of some non‐local boundary‐value problems . Proceedings of the Edinburgh Mathematical Society , 46 : 75 – 86 .
  • Infante , G. and Webb , J.R.L. 2003 . Three point boundary value problems with solutions that change sign . J. Integ. Eqns. Appl , 15
  • Ionkin , N.I. and Valikova , E.A. 1996 . On eigenvalues and eigenfunctions of a non‐classical boundary value problem . Math.Modelling, Russia , 8 (1) : 53 – 63 . (in Russian)
  • Ma , R. 1998 . Positive solutions for a nonlinear three‐point boundary‐value problem . Electronic J. of Differential equations , 34 : 1 – 8 .
  • Ma , R. 2000 . Multiplicity of positive solutions for second‐order three‐point boundary value problems . Comput. Math. Appl. , 40 : 193 – 204 .
  • Pečiulyte , S. and Štikonas , A. 2006 . Sturm‐Liouville problem for stationary differential operator with nonlocal two‐point boundary conditions . Nonlinear Analysis: Modelling and Control , 11 (1)
  • S&Pe;ccaron;iulyte , S. , Štikoniene , O. and Štikonas , A. 2004 . On the spectrum of one stationary problem with nonlocal integral type boundary condition . Liet. matem, rink. , : 655 – 659 . 44(spec. nr.)(in Lithuanian)
  • S&Pe;ccaron , S. , Štikoniene , O. and Štikonas , A. 2005 . Sturm‐Liouville problem for stationary differential operator with nonlocal integral boundary condition . Mathematical Modelling and Analysis , 10 (4) : 377 – 392 .
  • Sapagovas , M.P. 2002 . The eigenvalues of some problem with a nonlocal condition . Diff. Equations , 38 (7) : 1020 – 1026 . (in Russian)
  • Sapagovas , M.P. and Štikonas , A.D. 2005 . On the structure of the spectrum of a differential operator with a nonlocal condition . Diff. Equations , 41 (7) : 1010 – 1018 .

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:

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:

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.