The generalized periodic boundary value problem -[g(u’)]’ = f(t,u,u’), a < t < b, with u(a) = ξu(b) + c and u’(b) = ηu’(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, , p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.
@article{bwmeta1.element.bwnjournal-article-apmv65z3p265bwm,
author = {Daqing Jiang and Junyu Wang},
title = {A generalized periodic boundary value problem for the one-dimensional p-Laplacian},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {265-270},
zbl = {0868.34015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p265bwm}
}
Daqing Jiang; Junyu Wang. A generalized periodic boundary value problem for the one-dimensional p-Laplacian. Annales Polonici Mathematici, Tome 66 (1997) pp. 265-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p265bwm/
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