On the Problem of Solvability of Nonlinear Boundary Value Problems for Shallow Isotropic Shells of Timoshenko Type in Isometric Coordinates

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2024-05-09 DOI:10.3103/s1066369x2470004x

S. N. Timergaliev

引用次数: 0

Abstract

The solvability of a boundary value problem for a system of five nonlinear second-order partial differential equations under given nonlinear boundary conditions, which describes the equilibrium state of elastic flat inhomogeneous isotropic shells with loose edges in the framework of the Timoshenko shear model, referred to isometric coordinates, is studied. The boundary value problem is reduced to a nonlinear operator equation with respect to generalized displacements in a Sobolev space, with the solvability of this equation being established using the contraction mapping principle.

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关于等距坐标下各向同性浅壳的非线性边界问题的可解性问题

摘要研究了在给定非线性边界条件下五个非线性二阶偏微分方程系的边界值问题的可解性，该问题描述了在蒂莫申科剪切模型框架内具有松散边缘的弹性扁平非均质各向同性壳的平衡状态，并参考了等距坐标。边界值问题被简化为一个关于索波列夫空间中广义位移的非线性算子方程，并利用收缩映射原理确定了该方程的可解性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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