Stability of boundary-value problems for third-order partial differential equations

Date

2017-02-21

Authors

Ashyralyev, Allaberen
Belakroum, Kheireddine
Guezane-Lakoud, Assia

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We 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.

Description

Keywords

Stability, Boundary value problems, Hilbert space, Third order partial differential equation, Self-adjoint positive definite operator

Citation

Ashyralyev, 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.

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Attribution 4.0 International

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