On a class of second-order impulsive boundary value problem at resonance
2006 ◽
Vol 2006
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pp. 1-11
Keyword(s):
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 usualm-point boundary value problem at resonance without impulses.
2011 ◽
Vol 2011
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pp. 1-14
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2017 ◽
Vol 17
(1)
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pp. 143-154
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Keyword(s):
1995 ◽
Vol 18
(4)
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pp. 705-710
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Keyword(s):
Keyword(s):