Spatially nonlocal problems with integral conditions for third-order differential equations
- Authors: Kozhanov A.I.1,2, Lukina G.A.3
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Polytechnic Institute (Branch) of North-Eastern Federal University
- Issue: Vol 53, No 7 (2017)
- Pages: 879-890
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154469
- DOI: https://doi.org/10.1134/S0012266117070047
- ID: 154469
Cite item
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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