Infinite-dimensional second order ordinary differential equations via \(T^{2}M\)

DOI10.1016/j.na.2006.09.043zbMath1122.58007OpenAlexW2045540311MaRDI QIDQ2381468

Mansour Aghasi, Ali Suri, Christopher T. J. Dodson, George N. Galanis

Publication date: 18 September 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.09.043

zbMATH Keywords

Banach manifoldlinear connectionsecond order ordinary differential equationssecond order tangent bundleFréchet manifold

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (5)

Geometry of bounded Fréchet manifolds ⋮ Fréchet geometry via projective limits ⋮ Second-order time-dependent tangent bundles and geometric mechanics ⋮ Geometry of the double tangent bundles of Banach manifolds ⋮ Higher order tangent bundles

Cites Work

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• Second order tangent bundles of infinite dimensional manifolds
• Bundles of acceleration on Banach manifolds
• A global version of the inverse problem of the calculus of variations
• On differential structure for projective limits of manifolds
• The theory of sprays and Finsler spaces with applications in physics and biology
• On the geometry of free loop spaces
• Transformations of linear connections. II
• Deterministic and stochastic differential equations in infinite- dimensional spaces
• Pseudoconvex and disprisoning homogeneous sprays
• Differential and geometric structure for the tangent bundle of a projective limit manifold
• On a differential structure for the group of diffeomorphisms
• Connections on tangent bundles
• Some Frobenius theorems in global analysis
• Isomorphism classes for Banach vector bundle structures of second tangents
• On ordinary differential equations in locally convex spaces
• Jet fields, connections and second-order differential equations
• Sprays, universality and stability
• Generalizations of Noether’s Theorem in Classical Mechanics
• Toward a classification of dynamical symmetries in classical mechanics
• The inverse function theorem of Nash and Moser
• A characterization for spaces of sections
• Differential Equations and Differential Calculus in Montel Spaces

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