期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/62512
出版社：Hindawi Publishing Corporation
摘要：We consider the following impulsive boundary value problem,
x″(t)=f(t,x,x′), t∈J\{t1,t2,…,tk},
Δx(ti)=Ii(x(ti),x′(ti)), Δx′(ti)=Ji(x(ti),x′(ti)),
i=1,2,…,k, x(0)=(0),
x′(1)=∑j=1m−2αjx′(ηj). By using the
coincidence degree theory, a general theorem concerning the
problem is given. Moreover, we get a concrete existence result
which can be applied more conveniently than recent results. Our
results extend some work concerning the usual m-point boundary
value problem at resonance without impulses.
