Application of Riemann-Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges

被引：5

作者：

Timergaliev, S. N. ^{[1
]}

Uglov, A. N. ^{[2
]}

机构：

[1] Kazan State Univ Architecture & Engn, Ul Zelenaya 1, Kazan 420043, Tatarstan, Russia

[2] Kazan Fed Univ, Naberezhnye Chelny Inst, Pr Mira 68-19, Naberezhnye Chelny 423812, Tatarstan, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2018年 / 39卷 / 06期

关键词：

Nonlinear boundary value problem; Timoshenko type inhomogeneous isotropic shell; equilibrium equations; generalized displacements; generalized solution of a boundary value problem; Riemann-Hilbert problem for the holomorphic functions; Sobolev space; integral representations; operator; existence theorem;

D O I：

10.1134/S1995080218060203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability is proved with the use of contracting mappings principle.

引用

页码：855 / 865

页数：11

共 17 条

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[10] 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
Timergaliev, S. N.
Kharasova, L. S.
[J]. DIFFERENTIAL EQUATIONS, 2016, 52 (05) : 630 - 643

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