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Inverse problem of determining the kernel in an integro-differential equation of parabolic type

D. K. DurdievBukhara State University, Bukhara, UzbekistanA. Sh. RashidovBukhara State University, Bukhara, Uzbekistan
Differential Equationsjournal2014en
ABI

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We study the inverse problem of determining the multidimensional kernel of the integral term in a parabolic equation of second order. As additional information, the solution of the direct problem is given on the hyperplane x n = 0. We prove a local existence and uniqueness theorem for the inverse problem.

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