ON THE ULAM-HYERS STABILITY OF BIHARMONIC EQUATION

被引：0
|
作者：
Marian, Daniela [1 ]
Ciplea, Sorina Anamaria [2 ]
Lungu, Nicolaie [1 ]
机构：
[1] Tech Univ Cluj Napoca, Dept Math, 28 Memorandumului St, Cluj Napoca 400114, Romania
[2] Tech Univ Cluj Napoca, Dept Management & Technol, 28 Memorandumului St, Cluj Napoca 400114, Romania
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 02期
关键词：
biharmonic equation; Ulam-Hyers stability; 1ST-ORDER;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the Ulam-Hyers stability of the biharmonic equation in the class of circular symmetric functions. Biharmonic equation has many applications, for example in elasticity, fluid mechanics and many other areas. We apply our results in elasticity and civil engineering. We consider a circular plane plate. In this case the solutions will be functions with circular symmetry. In general the unknown functions are u = u (r, theta) but in the case of the circular symmetry u = u (r). The biharmonic equation Delta(2)u = p/D becomes r(4) d(4)u/dr(4) + 2r(3) d(3)u/dr(3) - r(2) d(2)u/ dr(2) + r du/dr = r(4) p/D; where p is the normal pressure load to the plate and D is the flexural rigidity.
引用
收藏
页码：141 / 148
页数：8
相关论文
共 50 条
  • [41] Ulam-Hyers stability of fractional Ito-Doob stochastic differential equations
    Mchiri, Lassaad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 13731 - 13740
  • [42] Existence and Ulam-Hyers stability of ODEs involving two Caputo fractional derivatives
    Peng, Shan
    Wang, JinRong
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (52)
  • [43] The existence and Ulam-Hyers stability results for A-Hilfer fractional integrodifferential equations
    Abdo, Mohammed S.
    Thabet, Sabri T. M.
    Ahmad, Bashir
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1757 - 1780
  • [44] Ulam-Hyers stability of 3-Jordan homomorphisms in C*-ternary algebras
    Gordji, Madjid Eshaghi
    Keshavarz, Vahid
    Park, Choonkil
    Jang, Sun Young
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (03) : 573 - 578
  • [45] Controllability and Ulam-Hyers stability of fractional order linear systems with variable coefficients
    Ali, Amjad
    Khalid, Shah
    Rahmat, Gul
    Kamran
    Ali, Gohar
    Nisar, Kottakkaran Sooppy
    Alshahrani, Badriah
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (08) : 6071 - 6076
  • [46] Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings
    Oyetunbi, Dolapo Muhammed
    Khan, Abdul Rahim
    Saleh, Khairul
    FILOMAT, 2024, 38 (02) : 661 - 668
  • [47] On the Ulam-Hyers stabilities of the solutions of ψ-Hilfer fractional differential equation with abstract Volterra operator
    Sousa, Jose Vanterler da C.
    Kucche, Kishor D.
    de Oliveira, Edmundo Capelas
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3021 - 3032
  • [48] Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam-Hyers stability
    Li, Fang
    Yang, Wenjing
    Wang, Huiwen
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [49] Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions
    Zada, Akbar
    Alzabut, Jehad
    Waheed, Hira
    Popa, Ioan-Lucian
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [50] On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions
    El-Sayed, Ahmed Mohamad
    Al-Issa, Shorouk Mahmoud
    El Miari, Maysaa Mohamad
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
12345