On solutions of a fourth-order Lidstone boundary value problem at resonance
Mariusz Jurkiewicz
Annales Polonici Mathematici, Tome 95 (2009), p. 1-16 / Harvested from The Polish Digital Mathematics Library
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We consider a Lidstone boundary value problem in ℝk at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:280625 
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     title = {On solutions of a fourth-order Lidstone boundary value problem at resonance},
     journal = {Annales Polonici Mathematici},
     volume = {95},
     year = {2009},
     pages = {1-16},
     zbl = {1163.34010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-1}
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Mariusz Jurkiewicz. On solutions of a fourth-order Lidstone boundary value problem at resonance. Annales Polonici Mathematici, Tome 95 (2009) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-1/