-
Existence and multiplicity results for a second-order multi-point boundary value problem at resonance
- CHEN Bin, Abuelgasimalshaby Elzebir
-
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2016, 51(4):
49-52.
doi:10.6040/j.issn.1671-9352.0.2015.308
-
Abstract
(
1200 )
PDF (599KB)
(
784
)
Save
-
References |
Related Articles |
Metrics
It is investigated that the existence and multiplicity results for a second-order multi-point boundary value problem at resonanceu″(t)=f(t,u(t))+e(t), t∈[0,1],u'(0)=0, u(1)=∑mk=1aku(ηk)by the connectivity properties of solution set of parameterized families of compact vector fields. where f:[0,1]×R→R is continuous, e∈C([0,1],R), 0<η1<η2<…<ηm<1, ak>0(k=1,2,…,m).