Continuous Dependence on Data for Quasiautonomous Nonlinear Boundary Value Problems
نویسنده
چکیده
Here A : D(A) ⊆H →H is a maximal monotone operator (possibly multivalued) in a real Hilbert space H , D(A) is its domain, a,b ∈ D(A), f ∈ L2(0,T ;H), and p, r are two continuous functions from [0,T] to R. In [10, 11], Barbu proved the existence of the solution in the case p ≡ 1, r ≡ 0. The author considered the boundary value problems u′′(t) ∈Au(t) + f (t), a.e. t ∈ (0,T), u(0) = a, u(T) = b, (1.3)
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