The constructive implicit function theorem and applications in mechanics

DOI10.1016/S0960-0779(98)00140-4zbMath0959.03051OpenAlexW4232529898MaRDI QIDQ1125119

B. S. Pavlov, Doru Ştefănescu, Cristian S. Calude, Douglas S. Bridges

Publication date: 29 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00140-4

zbMATH Keywords

Bishop's constructive mathematicsapplication to classical mechanicsconstructive proof of the implicit function theorem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Constructive and recursive analysis (03F60) Nonlinear dynamics in mechanics (70K99) Implicit function theorems; global Newton methods on manifolds (58C15)

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A global implicit function theorem without initial point and its applications to control of non-affine systems of high dimensions

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