An Operator Method for a Third Order Partial Differential Equation. (3rd October 2017)

• Record Type: Journal Article
• Authors: Ashyralyev, Allaberen; Simsek, Sinem N.
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1341
• Page End: 1359
• Publication Date: 2017-10-03
• Subjects: Nonlocal problems -- self-adjoint positive definite operator -- stability -- third- order partial differential equation; 65J10 -- 35M10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1317000
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this study, the nonlocal boundary value problem for the third order partial differential equation with a self-adjoint positive definite operator in a Hilbert space is investigated. The main theorem on stability estimates for the solution of the problem is established. The application of the main theorem for two types of third order partial differential equations is provided.