A Note on the Nonlocal Boundary Value Problem for a Third Order Partial Differential Equation

被引：9

作者：

Belakroum, Kh. ^{[1
]}

Ashyralyev, A. ^{[2
,3
,4
]}

Guezane-Lakoud, A. ^{[5
,6
]}

机构：

[1] Freres Mentouri Univ, Dept Math, Constantine, Algeria

[2] Near East Univ, Dept Math, TR-10 Trnc, Mersin, Turkey

[3] RUDN Univ, Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia

[4] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[5] Badji Mokhtar Annaba Univ, Math Dept, Lab Adv Mat, POB 12, Annaba 23000, Algeria

[6] Badji Mokhtar Annaba Univ, Fac Sci, POB 12, Annaba 23000, Algeria

来源：

FILOMAT | 2018年 / 32卷 / 03期

关键词：

Well-posedness; boundary value problems; third order partial differential equation; Self-adjoint positive definite operator; Hilbert space;

D O I：

10.2298/FIL1803801B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：801 / 808

页数：8

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