Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR INHOMOGENEOUS ISOTROPIC SHALLOW SHELLS OF THE TIMOSHENKO TYPE WITH FREE EDGES
Form of presentationArticles in international journals and collections
Year of publication2021
Языканглийский
  • Yakushev Rinat Sultanovich, author
  • Akhmadiev Marat , author
  • Timergaliev Samat , author
  • Uglov Alexandr , author
  • Bibliographic description in the original language Akhmadiev M.G, Timergaliev S.N, Uglov A.N, On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.1. - P.30-43.
    Annotation ISSN 1995-0802, Lobachevskii Journal of Mathematics, 2021, Vol. 42, No. 1, pp. 30–43. c? Pleiades Publishing, Ltd., 2021. On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges M. G. Akhmadiev 1* , S. N. Timergaliev 2** , A. N. Uglov 3*** , and R. S. Yakushev 4**** (Submitted by A. M. Elizarov) 1 Kazan National Research Technological University, Kazan, 420015 Tatarstan, Russia 2 Kazan State University of Architecture and Engineering, Kazan, 420043 Tatarstan, Russia 3 Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University, Naberezhnye Chelny, 423812 Tatarstan, Russia 4 Kazan (Volga Region) Federal University, Kazan, 420008 Tatarstan, Russia Received February 25, 2020; revised June 8, 2020; accepted July 8, 2020 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.
    Keywords nonlinear boundary value problem, inhomogeneous isotropic shell of Timoshenko type, equilibrium equations, generalized solution of a boundary value problem, holomorphic functions, integral of Cauchy type, integral equations, operator, existence theorem.
    The name of the journal Lobachevskii Journal of Mathematics
    URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-85101771837&doi=10.1134%2fS1995080221010054&partnerID=40&md5=8c4ffd16fc753fdcfe9d7497ddce1835
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=275224&p_lang=2
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