
Existence and multiplicity results for a secondorder multipoint boundary value problem at resonance
 CHEN Bin, Abuelgasimalshaby Elzebir

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2016, 51(4):
4952.
doi:10.6040/j.issn.16719352.0.2015.308

Abstract
(
405 )
PDF (599KB)
(
445
)
Save

References 
Related Articles 
Metrics
It is investigated that the existence and multiplicity results for a secondorder multipoint boundary value problem at resonanceu″(t)=f(t,u(t))+e(t), t∈［0,1］,u'(0)=0, u(1)=∑^{m}_{k=1}a_{k}u(η_{k})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<η_{1}<η_{2}<…<η_{m}<1, a_{k}>0(k=1,2,…,m).