A class of second-order nonlocal indefinite impulsive differential systems
Abstract We consider the second-order nonlocal impulsive differential system {−x″=a(t)xy+ω(t)f(x),0<t<1,t≠tk,−y″=b(t)x,0<t<1,t≠tk,Δx|t=tk=Ik(x(tk)),k=1,2,…,n,Δy|t=tk=Jk(y(tk)),k=1,2,…,n,x(0)=∫01h(t)x(t)dt,x′(1)=0,y(0)=∫01g(t)y(t)dt,y′(1)=0, $$ \textstyle\begin{cases} -x''=a(t)x...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1082-z |