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.
Rights
Attribution 4.0 International