An Operator Method for a Third Order Partial Differential Equation

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. © 2017 Taylor & Francis.

Authors
Ashyralyev A. 1, 2, 3 , Simsek S.N.4
Journal
Numerical Functional Analysis and Optimization
Publisher
Taylor and Francis Inc.
Number of issue
10
Language
English
Pages
1341-1359
Status
Published
Link
External link
DOI
10.1080/01630563.2017.1317000
Volume
38
Year
2017
Organizations
  • 1 Department of Mathematics, Near East University, TRNC, Mersin, Turkey
  • 2 Department of Mathematics, Peoples’ Friendship University Russia, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 KAYMEK, Kayseri, Turkey
Keywords
Nonlocal problems; self-adjoint positive definite operator; stability; third- order partial differential equation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5262/
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