Two sorts of nonlinear third order boundary-value problems are solved and the existence of eigenvalues and eigenfunctions is proved.
@article{107515,
author = {Michal Gregu\v s},
title = {Two sorts of boundary-value problems of nonlinear third order differential equations},
journal = {Archivum Mathematicum},
volume = {030},
year = {1994},
pages = {285-292},
zbl = {0819.34014},
mrnumber = {1322573},
language = {en},
url = {http://dml.mathdoc.fr/item/107515}
}
Greguš, Michal. Two sorts of boundary-value problems of nonlinear third order differential equations. Archivum Mathematicum, Tome 030 (1994) pp. 285-292. http://gdmltest.u-ga.fr/item/107515/
On a certain boundary value third order problem with two parameters, Acta Math. Univ.Comen. LIV-LV (1988), 201–206. (1988) | MR 1083214
Third order linear differential equation, Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1982. (1982) | MR 0882545
Über die Knickung eines gekrümmten Stabes, ZAMM 16, 1, (1936), 49–55. (1936)
Equazioni differenziali nel campo reale, Parte prima, Bologna, 1948. (1948)