Couples of lower and upper slopes and resonant second order ordinary differential equations with nonlocal boundary conditions

A couple ($\sigma,\tau$) of lower and upper slopes for the resonant second order boundary value problem x" = f(t,x,x'), \quad x(0) = 0,\quad x'(1) = \int_0^1 x'(s) {\rm d}g(s), with $g$ increasing on $[0,1]$ such that $\int_0^1 dg = 1$, is a couple of functions $\sigma,...

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Bibliographic Details
Main Authors: Jean Mawhin, Katarzyna Szymańska-Dębowska
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/2/mb141_2_8.pdf