Ashyralyev, AllaberenBelakroum, KheireddineGuezane-Lakoud, Assia2022-03-302022-03-302017-02-21Ashyralyev, A., Belakroum, K., & Guezane-Lakoud, A. (2017). Stability of boundary-value problems for third-order partial differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(53), pp. 1-11.1072-6691https://hdl.handle.net/10877/15579We consider a boundary-value problem for the third-order partial differential equation d3u(t)/dt3 + Au(t) = ƒ(t), 0 < t < 1, u(0) = ϕ, u(1) = ψ, u′(1) = ξ 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalStabilityBoundary value problemsHilbert spaceThird order partial differential equationSelf-adjoint positive definite operatorArticle