Initial-Boundary Value Problem for a Degenerate High Even-Order Partial Differential Equation with the Bessel Operator

被引：0
|
作者：
Urinov, A. K. [1 ,2 ]
Azizov, M. S. [2 ]
机构：
[1] Uzbek Acad Sci, Romanovskii Inst Math, Namangan Reg Dept, Namangan 160136, Uzbekistan
[2] Fergana State Univ, Fergana 150100, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 02期
关键词：
even order partial differential equation; Bessel operator; initial-boundary value problem; spectral method; Green's function; integral equation; existence; uniqueness and stability of the solution; MIXED-TYPE; SOLVABILITY;
D O I：
10.1134/S1995080224600158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, an initial-boundary value problem for a high even order partial differential equation with a Bessel operator is considered and the existence, uniqueness and stability of the solution of the considered problem have been investigated.
引用
下载
收藏
页码：864 / 874
页数：11
相关论文
共 50 条
  • [1] An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator
    Urinov, A. K.
    Azizov, M. S.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2022, 26 (02): : 273 - 292
  • [2] On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order
    Urinov, A. K.
    Azizov, M. S.
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2022, 32 (02): : 240 - 255
  • [3] AN INITIAL-BOUNDARY VALUE PROBLEM FOR A HIGHER-ORDER PARTIAL DIFFERENTIAL EQUATION
    Assanova, A. T.
    Abildayeva, A. D.
    Sabalakhova, A. P.
    NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN-SERIES PHYSICO-MATHEMATICAL, 2020, 2 (330): : 133 - 141
  • [4] On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary
    Urinov A.K.
    Azizov M.S.
    J. Appl. Ind. Math., 2023, 2 (414-426): : 414 - 426
  • [5] Initial-boundary problem for degenerate high order equation with fractional derivative
    B. Yu. Irgashev
    Indian Journal of Pure and Applied Mathematics, 2022, 53 : 170 - 180
  • [6] Initial-boundary problem for degenerate high order equation with fractional derivative
    Irgashev, B. Yu.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (01): : 170 - 180
  • [7] On the solvability of an initial boundary problem for a high even order degenerate equation
    Urinov, A. K.
    Oripov, D. D.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2023, 27 (04): : 621 - 644
  • [8] The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation
    Kakharman, Nurbek
    EXTENDED ABSTRACTS MWCAPDE 2023, 2024, 1 : 145 - 150
  • [9] Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
    Burlutskaya, M. Sh
    Khromov, A. P.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (12) : 2102 - 2114
  • [10] Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
    M. Sh. Burlutskaya
    A. P. Khromov
    Computational Mathematics and Mathematical Physics, 2011, 51 : 2102 - 2114
12345