Open AccessA note on the nonlocal boundary value problem for a third order partial differential equation
Author(s) -
Kh. Belakroum,
Allaberen Ashyralyev,
A. Guezane-Lakoud
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1803801b
Subject(s) - mathematics , boundary value problem , mathematical analysis , free boundary problem , partial differential equation , poincaré–steklov operator , hilbert space , first order partial differential equation , mixed boundary condition , order (exchange) , operator (biology) , differential equation , elliptic boundary value problem , robin boundary condition , biochemistry , chemistry , finance , repressor , transcription factor , economics , gene
The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space with a self-adjoint positive definite operator is considered. Applying operator approach, the theorem on stability for solution of this nonlocal boundary value problem is established. In applications, the stability estimates for the solution of three nonlocal boundary value problems for third order partial differential equations are obtained.