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
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