A fixed point theorem for affine mappings and its application to elasticity theory

• Autorzy: Oleg Zubelevich
• Języki publikacji: EN

Abstrakty

EN

In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.

Słowa kluczowe

EN

Fixed point theory; Periodic solution; Linear elasticity; Lamé equations

Kategorie tematyczne

• 47A50: Equations and inequalities involving linear operators, with vector unknowns
• 47H10: Fixed-point theorems
• 35L20: Initial-boundary value problems for second-order hyperbolic equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 1104-1108

Daty

wydano

2010-12-01

online

2010-10-30

Twórcy

autor

Oleg Zubelevich

• M.V. Lomonosov Moscow State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0067-7