Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators
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 …