A note on the nonlocal boundary value problem for a third order partial differential equation

The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space with a self-adjoint positive definite operator is considered. Applying operator approach, the theorem on stability for solution of this nonlocal boundary value problem is established. In applications, the stability estimates for the solution of three nonlocal boundary value problems for third order partial differential equations are obtained. © 2018, University of Nis. All rights reserved.

Authors
Belakroum K.1 , Ashyralyev A. 2, 3, 4 , Guezane-Lakoud A.5
Journal
Filomat
Publisher
University of Nis
Number of issue
3
Language
English
Pages
801-808
Status
Published
Link
External link
DOI
10.2298/FIL1803801B
Volume
32
Year
2018
Organizations
  • 1 Department of Mathematics, Fréres Mentouri University, Constantine, Algeria
  • 2 Department of Mathematics, Near East University, Mersin 10, Nicosia, Turkey
  • 3 Friendship’ University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 4 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 5 Laboratory of Advanced Materials, Mathematics Department and Faculty of Sciences, Badji Mokhtar Annaba University, P.O. Box 12, Annaba, 23000, Algeria
Keywords
Boundary value problems; Hilbert space; Self-adjoint positive definite operator; Third order partial differential equation; Well-posedness
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7331/
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