R. Moore and Z. Nehari developed the variationaltheory for superlinear boundary value problems of the form$ x'' = -p(t) |x|^{2 \varepsilon} x, x (a) = 0 = x (b) $, where $ \varepsilon > 0 $and$ p(t) $is a positivecontinuous function. They constructed simple example of the equationconsidered in the interval$ [0; b] $so that the problem had threepositive solutions. We show that this example can be extended sothat the respective BVP has infinitely many groups of solutions witha presribed number of zeros.
@article{326,
title = {Extension of the example by Moore -- Nehari},
journal = {Tatra Mountains Mathematical Publications},
volume = {58},
year = {2014},
doi = {10.2478/tatra.v63i0.326},
language = {EN},
url = {http://dml.mathdoc.fr/item/326}
}
Gritsans, Armands; Sadyrbaev, Felix. Extension of the example by Moore – Nehari. Tatra Mountains Mathematical Publications, Tome 58 (2014) . doi : 10.2478/tatra.v63i0.326. http://gdmltest.u-ga.fr/item/326/