2022
DOI: 10.48550/arxiv.2205.03405
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On the uniqueness of solutions of two inverse problems for the subdiffusion equation

Abstract: Let A be an arbitrary positive selfadjoint operator, defined in a separable Hilbert space H. The inverse problems of determining the right-hand side of the equation and the function ϕ in the non-local boundary value problemOperator D t on the left-hand side of the equation expresses the Caputo derivative. For both inverse problems u(ξ 1 ) = V is taken as the over-determination condition. Existence and uniqueness theorems for solutions of the problems under consideration are proved. The influence of the constan… Show more

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