Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/9528
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| Title: | THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS |
| Authors: | Fialho, João
Minhós, Feliz |
| Keywords: | Lidstone problems
one-sided Nagumo condition
non ordered lower and upper solutions. |
| Issue Date: | 2012 |
| Publisher: | American Institue of Mathematical Sciences (AIMS) |
| Citation: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Supplement 2013 pp. 217-226 |
| Abstract: | In this the authors consider a nonlinear fourth order fully equation coupled with
the Lidstone boundary conditions,
We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems with Lidstone boundary data. In addition, it is replaced the usual bilateral Nagumo
condition by a one-sided condition, allowing the nonlinearity to be unbounded:
An example will show that this unilateral condition generalizes the usual one
and stress the potentialities of the new de nitions. |
| URI: | http://hdl.handle.net/10174/9528 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica /
