Allaberen Ashyralyev, Kheireddine Belakroum, Assia Guezane-Lakoud
Abstract:
We consider a boundary-value problem for the third-order partial differential
equation
in a Hilbert space H with a self-adjoint positive definite operator A.
Using the operator approach, we establish stability estimates for
the solution of the boundary value problem. We study three types
of boundary value problems and obtain stability estimates for the solution
of these problems.
Submitted December 14, 2016. Published February 21, 2017.
Math Subject Classifications: 35G15, 47A62.
Key Words: Stability; boundary value problem; Hilbert space;
third order partial differential equation;
self-adjoint positive definite operator.
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Allaberen Ashyralyev Department of Mathematics Near East University, Nicosia, TRNC Mersin 10, Turkey email: allaberen.ashyralyev@neu.edu.tr | |
Kheireddine Belakroum Department of Mathematics Frères Mentouri University Constantine, Algeria email: belakroumkheireddine@yahoo.com | |
Assia Guezane-Lakoud Laboratory of Advanced Materials Mathematics Department, Faculty of Sciences Badji Mokhtar Annaba University P.O. Box 12, Annaba, 23000, Algeria email: a_guezane@yahoo.fr |
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