UNIQUENESS OF SOLUTIONS OF SOME NONLOCAL BOUNDARY-VALUE PROBLEMS FOR OPERATOR-DIFFERENTIAL EQUATIONS ON A FINITE SEGMENT


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Abstract

For the equation L0x(t) + L1x(1)(t) +…+ Lnx(n)(t) = 0, where Lk, k = 0, 1,…, n, are operators acting in a Banach space, we formulate conditions under which a solution x(t) that satisfies some nonlocal homogeneous boundary conditions is equal to zero.

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