Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 8
Submit an article Journal homepage
47
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Global behaviour of the components of nodal solutions for Lidstone boundary value problems

Haitao Li Department of Mathematics, Shandong Normal University, Jinan, 250014, P. R. China
,
Yansheng Liu Department of Mathematics, Shandong Normal University, Jinan, 250014, P. R. China
&
Donal O'Regan Department of Mathematics, National University of Ireland, Galway, IrelandCorrespondence[email protected]
Pages 1173-1182 | Received 16 Jun 2009, Accepted 30 Jun 2009, Published online: 21 Sep 2010

References

  • Rabinowitz , PH . 1971 . Some global results for nonlinear eigenvalue problems . J. Funct. Anal. , 7 : 487 – 513 .
  • Rabinowitz , PH . 1973 . On bifurcation from infinity . J. Diff. Eqns. , 14 : 462 – 475 .
  • Guo , D and Sun , J . 1987 . Nonlinear Integral Equations , Jinan : Shandong Science and Technology Press . (in Chinese)
  • Kuto , K . 2009 . Bifurcation branch of stationery solutions for a Lotka–Volterra cross-diffusion system in a spatially heterogeneous environment . Nonlin. Anal. , 10 ( 2 ) : 943 – 965 .
  • Liu , Y . 2003 . Structure of a class of singular boundary value problem with superlinear effect . J. Math. Anal. Appl. , 284 : 64 – 75 .
  • Liu , Y and O'Regan , D . 2008 . Bifurcation techniques for Lidstone boundary value problems . Nonlin. Anal. , 68 : 2801 – 2812 .
  • Luo , H and Ma , R . 2006 . Nodal solutions to nonlinear eigenvalue problems on time scales . Nonlin. Anal. , 65 ( 4 ) : 773 – 784 .
  • Ma , R . 2006 . Nodal solutions for a fourth-order two-point boundary value problems . J. Math. Anal. Appl. , 314 : 254 – 265 .
  • Ma , R . 2008 . Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems . Appl. Math. Lett. , 21 : 754 – 760 .
  • Ma , R and Thompson , B . 2004 . Nodal solutions for nonlinear eigenvalue problems . Nonlin. Anal. , 59 ( 4 ) : 708 – 718 .
  • Ma , R and Thompson , B . 2005 . Global behavior of positive solutions of nonlinear three-point boundary value problems . Nonlin. Anal. , 60 ( 4 ) : 685 – 701 .
  • Rynne , BP . 2003 . Global bifurcation for 2mth-order boundary value problems and infinitely many solutions of superlinear problems . J. Diff. Eqns. , 188 : 461 – 472 .
  • Protter , MH and Weinberger , HF . 1984 . Maximum Principles in Differential Equations , New York : Springer-Verlag .

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.