On nonlocal boundary value problem for the equation of motion of a homogeneous elastic beam with pinned-pinned ends

DOI10.15330/cmp.10.1.105-113zbMath1406.35395OpenAlexW2885904167MaRDI QIDQ4583472

T. P. Goy, M. Negrych, Ivan Ya. Savka

Publication date: 30 August 2018

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.10.1.105-113

zbMATH Keywords

nonlocal boundary value problemLebesgue measuremetric approachsmall denominatorhomogeneous elastic beampinned-pinned ends

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Higher-order hyperbolic equations (35L25) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• The Borel-Cantelli lemma
• Application of Maslov's formula to finding an asymptotic solution to an elastic deformation problem
• Multipoint nonlocal problem for factorized equation with dependent coefficients in conditions
• Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators
• Nonlocal boundary-value problems for systems on linear partial differential equations
• Колебания балки с заделанными концами
• Problem with nonlocal conditions for weakly nonlinear hyperbolic equations
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