Distributional solution concepts for the Euler–Bernoulli beam equation with discontinuous coefficients

DOI10.1080/00036810701595944zbMath1149.46032arXivmath/0606058OpenAlexW2023523197WikidataQ58258475 ScholiaQ58258475MaRDI QIDQ3502179

Ljubica Oparnica, Günther Hörmann

Publication date: 22 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606058

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Discontinuous ordinary differential equations (34A36)

Related Items (8)

Ordinary differential equations with point interactions: an inverse problem ⋮ An existence and uniqueness result about algebras of Schwartz distributions ⋮ Vibration modes of the Euler-Bernoulli beam equation with singularities ⋮ Foundations of the calculus of variations in generalized function algebras ⋮ GENERALIZED SOLUTIONS FOR THE EULER–BERNOULLI MODEL WITH ZENER VISCOELASTIC FOUNDATIONS AND DISTRIBUTIONAL FORCES ⋮ Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ Generalized solutions for the Euler-Bernoulli model with distributional forces

Cites Work

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• Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics
• Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case
• Hölder--Zygmund regularity in algebras of generalized functions
• On applications of generalized functions to the analysis of Euler-Bernoulli beam-columns with jump discontinuities
• Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients

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