On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges

dc.contributor.author	Akhmadiev M.G.
dc.contributor.author	Timergaliev S.N.
dc.contributor.author	Uglov A.N.
dc.contributor.author	Yakushev R.S.
dc.date.accessioned	2022-02-09T20:43:04Z
dc.date.available	2022-02-09T20:43:04Z
dc.date.issued	2021
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169783
dc.description.abstract	Abstract: The paper deals with the study of solvability to geometrically nonlinear boundary value problem for elastic inhomogeneous isotropic shallow shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation relative to deflection of shell in Sobolev space. Solvability of equation is proved with the use of contracting mappings principle.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	equilibrium equations
dc.subject	existence theorem
dc.subject	generalized solution of a boundary value problem
dc.subject	holomorphic functions
dc.subject	inhomogeneous isotropic shell of Timoshenko type
dc.subject	integral equations
dc.subject	integral of Cauchy type
dc.subject	nonlinear boundary value problem
dc.subject	operator
dc.title	On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	42
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	30
dc.source.id	SCOPUS19950802-2021-42-1-SID85101771837

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