Approximate Controllability of Semilinear Impulsive Evolution Equations
We prove the approximate controllability of the following semilinear impulsive evolution equation: z'=Az+Bu(t)+F(t,z,u), z∈Z, t∈(0,τ], z(0)=z0, z(tk+)=z(tk-)+Ik(tk,z(tk),u(tk)), k=1,2,3,…,p, where 0<t1<t2<t3<⋯<tp<τ, Z and U are Hilbert spaces, u∈L2(0,τ;U), B:U→Z is a bounded l...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/797439 |
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