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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 8
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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
 
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Abstract

By employing bifurcation techniques, we investigate the global behaviour of the components of nodal solutions for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.

AMS Subject Classifications::

Acknowledgements

The project was supported by NNSF of P. R. China (10571111) and the Science and Technology Development Funds of Shandong Education Committee (J08LI10).

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