Galerkin projections for state-dependent delay differential equations with applications to drilling

DOI10.1016/j.apm.2012.04.038zbMath1349.65254OpenAlexW2082185792MaRDI QIDQ346040

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.04.038

zbMATH Keywords

stabilitystate dependent delayGalerkin projectiondrill-strings

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Theoretical approximation of solutions to functional-differential equations (34K07) Motion of a rigid body with a fixed point (70E17) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Global existence results for neutral functional differential equations with state-dependent delay ⋮ A high-dimensional model to study the self-excited oscillations of rotary drilling systems ⋮ Global modelling of nonlinear spatiotemporal dynamics of a drill-string with multiple regenerative effects ⋮ The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings ⋮ Global existence for functional differential equations with state-dependent delay ⋮ Optimal homotopy asymptotic method for solving delay differential equations ⋮ Global existence results for neutral functional differential inclusions with state-dependent delay ⋮ Nonlinear multivariable modeling and stability analysis of vibrations in horizontal drill string

This page was built for publication: Galerkin projections for state-dependent delay differential equations with applications to drilling