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

共 50 条

[31] ON SOLVABILITY OF SOME BOUNDARY-VALUE PROBLEMS FOR THE NON-LOCAL POISSON EQUATION WITH FRACTIONAL-ORDER BOUNDARY OPERATORS
Turmetov, B. kh.
PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2024, 13 (03): : 118 - 134
[32] RESOLUTION AND OPTIMAL REGULARITY FOR A BIHARMONIC EQUATION WITH IMPEDANCE BOUNDARY CONDITIONS AND SOME GENERALIZATIONS
Favini, Angelo
Labbas, Rabah
Lemrabet, Keddour
Maingot, Stephane
Sidibe, Hassan D.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (11-12) : 4991 - 5014
[33] On an analog of periodic boundary value problems for the Poisson equation in the disk
M. A. Sadybekov
B. Kh. Turmetov
Differential Equations, 2014, 50 : 268 - 273
[34] On an analog of periodic boundary value problems for the Poisson equation in the disk
Sadybekov, M. A.
Turmetov, B. Kh.
DIFFERENTIAL EQUATIONS, 2014, 50 (02) : 268 - 273
[35] On solvability of the Dirichlet and Neumann boundary value problems for the Poisson equation with multiple involution
Turmetov, B. Kh
Karachik, V. V.
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2021, 31 (04): : 651 - 667
[36] On the Solvability of Boundary Value Problems for the Inhomogeneous Schrodinger Equation on Model Riemannian Manifolds
Losev, A.
Mazepa, E.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (03) : 642 - 652
[37] ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER
Turmetov, Batirkhan
ACTA MATHEMATICA SCIENTIA, 2016, 36 (03) : 831 - 846
[38] ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER
Batirkhan TURMETOV
Acta Mathematica Scientia, 2016, (03) : 831 - 846
[39] EIGENVALUES OF SOME p(x)-BIHARMONIC PROBLEMS UNDER NEUMANN BOUNDARY CONDITIONS
Hsini, Mounir
Irzi, Nawal
Kefi, Khaled
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (08) : 2543 - 2558
[40] On solvability of periodic boundary value problems for second order linear functional differential equations
Bravyi, Eugene
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (05) : 1 - 18

← 1 2 3 4 5 →