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


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Abstract

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.

About the authors

A. I. Kozhanov

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

G. A. Lukina

Polytechnic Institute (Branch) of North-Eastern Federal University

Email: kozhanov@math.nsc.ru
Russian Federation, Mirny, 678174

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