On Solvability of Some Boundary Value Problems for a Biharmonic Equation with Periodic Conditions

被引：7

作者：

Turmetov, Batirkhan ^{[1
,2
]}

Karachik, Valery ^{[3
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, B Sattarkhanov St 29, Turkestan 161200, Kazakhstan

[2] Minist Educ & Sci Republ Kazakhstan, Inst Math & Math Modeling, Pushkin St 125, Alma Ata 050010, Kazakhstan

[3] Southern Ural State Univ, Dept Math, Lenin Ave 76, Chelyabinsk 454080, Russia

来源：

FILOMAT | 2018年 / 32卷 / 03期

关键词：

Biharmonic equation; periodic boundary value problem; solvability; existence and uniqueness of solution; POLYHARMONIC EQUATION; DIRICHLET PROBLEM; POLYNOMIAL SOLUTIONS; OPERATOR;

D O I：

10.2298/FIL1803947T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we study questions about solvability of some boundary value problems with periodic conditions for an inhomogeneous biharmonic equation. The exact conditions for solvability of the problems are found.

引用

页码：947 / 953

页数：7

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