Study of the solvability of a boundary value problem for the system of nonlinear differential equations of the theory of shallow shells of the Timoshenko type

详细信息    查看全文

• 作者：S. N. Timergaliev ; L. S. Kharasova
• 刊名：Differential Equations
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：52
• 期：5
• 页码：630-643
• 全文大小：411 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Ordinary Differential Equations
  Partial Differential Equations
  Difference and Functional Equations
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1608-3083
• 卷排序：52

文摘

We study the solvability of a boundary value problem for a system of nonlinear second-order partial differential equations under given boundary conditions, which describes the equilibrium of elastic shallow shells with hinged edges in the framework of the Timoshenko shear model. The study method implies the reduction of the original system of equations to a single nonlinear differential equation whose solvability is proved with the use of the contraction mapping principle.Original Russian Text © S.N. Timergaliev, L.S. Kharasova, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 5, pp. 651–664.