Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators
The nonlocal boundary value problem for the parabolic differential equation v'(t)+A(t)v(t)=f(t) (0≤t≤T), v(0)=v(λ)+φ, 0<λ≤T in an arbitrary Banach space E with the dependent linear positive operator A(t) is investigated. The well-posedness of this problem is established in Banach spaces C...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/519814 |