The study of higher-order resonant and non-resonant boundary value problems

The existence of at least one solution to a nonlinear $n^\textrm{th}$ order differential equation $x^{(n)} = f(t,x,x',\ldots,x^{(n-1)}), \ 0 <t<1$, under both non-resonant and resonant boundary conditions, is proved. The methods involve the characterization of the $R_\delta$-set and an ap...

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Bibliographic Details
Main Authors: Aijun Yang, Johnny Henderson, Dingjiang Wang
Format: Article
Language:English
Published: University of Szeged 2016-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4427