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The abstract nonlocal boundary value problem −d 2 ut/dt 2 Aut gt, 0 < t < 1, dut/dt − Aut ft, 1 < t < 0, u1 u−1 μ for differential equations in a Hilbert space H with the self-adjoint positive definite operator A is considered. The well-posedness of this problem in H ¨ older spaces with a weight is established. The coercivity inequalities for the solution(More)
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