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
收藏
页码：947 / 953
页数：7
相关论文
共 50 条
  • [1] On solvability of some boundary value problems for a biharmonic equation with periodic conditions
    Karachik, Valery V.
    Massanov, Saparbay K.
    Turmetov, Batirkhan Kh
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
  • [2] ON SOLVABILITY OF SOME NONLOCAL BOUNDARY VALUE PROBLEMS FOR BIHARMONIC EQUATION
    Karachik, Valery
    Turmetov, Batirkhan
    MATHEMATICA SLOVACA, 2020, 70 (02) : 329 - 342
  • [3] On solvability of some boundary value problems for a nonlocal Poisson equation with periodic conditions
    Turmetov, Batirkhan Khudaibergenovich
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2025, 35 (01): : 137 - 154
  • [4] SOLVABILITY OF SOME NEUMANN-TYPE BOUNDARY VALUE PROBLEMS FOR BIHARMONIC EQUATIONS
    Karachik, Valery
    Turmetov, Batirkhan
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [5] Green's functions of some boundary value problems for the biharmonic equation
    Karachik, Valery
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (07) : 1712 - 1736
  • [6] On the solvability of periodic boundary value problems with impulse
    Chen, Jinhai
    Tisdell, Christopher C.
    Yuan, Rong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) : 902 - 912
  • [7] About Solvability of Some Boundary Value Problems for Poisson Equation in the Ball
    Koshanova, Maira
    Turmetov, Batirkhan Kh.
    Usmanov, Kairat
    FILOMAT, 2018, 32 (03) : 939 - 946
  • [8] About solvability of some boundary value problems for Poisson equation in a ball
    Koshanova, Maira D.
    Usmanov, Kairat I.
    Turmetov, Batirkhan Kh
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
  • [9] On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation
    Turmetov, B. Kh.
    Torebek, B. T.
    NEW YORK JOURNAL OF MATHEMATICS, 2014, 20 : 1237 - 1251
  • [10] Solvability of Nonlocal Boundary Value Problems for an Equation of Mixed Type with Various Boundary Conditions
    E. I. Moiseev
    T. E. Moiseev
    N. I. Popivanov
    A. A. Kholomeeva
    Differential Equations, 2018, 54 : 1403 - 1407
12345