Spatially nonlocal problems with integral conditions for third-order differential equations


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We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation uttt + uxx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable.

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A. Kozhanov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: kozhanov@math.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

G. Lukina

Polytechnic Institute (Branch) of North-Eastern Federal University

Email: kozhanov@math.nsc.ru
俄罗斯联邦, Mirny, 678174

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