An Operator Method for a Third Order Partial Differential Equation

被引：5

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Simsek, Sinem N. ^{[4
]}

机构：

[1] Near East Univ, Dept Math, TRNC, Mersin, Turkey

[2] Peoples Friendship Univ Russia, Dept Math, Moscow, Russia

[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[4] KAYMEK, Kayseri, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 10期

关键词：

Nonlocal problems; self-adjoint positive definite operator; stability; third- order partial differential equation; 65J10; 35M10; BOUNDARY-VALUE-PROBLEMS; SOLVABILITY; STABILITY; SCHEMES;

D O I：

10.1080/01630563.2017.1317000

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1341 / 1359

页数：19

共 26 条

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