Search Results - "Galanis, G. N"
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Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations
Published in Nonlinear analysis (15-05-2005)“…The set K c ( F ) of compact convex subsets of a Fréchet space F is studied in detail and is realized as a projective limit of metric spaces. The notion of…”
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Positive, unbounded and monotone solutions of the singular second Painlevé equation on the half-line
Published in Nonlinear analysis (01-05-2004)“…In this paper we study singular boundary value problems on the half-line and we prove the existence of a global, monotone, positive and unbounded solution. The…”
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Second order tangent bundles of infinite dimensional manifolds
Published in Journal of geometry and physics (01-10-2004)“…The second order tangent bundle T 2 M of a smooth manifold M consists of the equivalent classes of curves on M that agree up to their acceleration. It is known…”
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Model aggregation using optimal transport and applications in wind speed forecasting
Published in Environmetrics (London, Ont.) (01-12-2018)“…In several environmental affected socio‐economic activities, including renewable energy site assessment, search and rescue operations, and local microclimate…”
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A generalized second-order frame bundle for Fréchet manifolds
Published in Journal of geometry and physics (01-11-2005)“…Working within the framework of Fréchet modelled infinite-dimensional manifolds, we propose a generalized notion of second-order frame bundle. We revise in…”
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Infinite-dimensional second order ordinary differential equations via TM
Published in Nonlinear analysis (15-11-2007)“…The vector bundle structure obtained on the second order (acceleration) tangent bundle T2M of a smooth manifold M by means of a linear connection on the base…”
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Infinite-dimensional second order ordinary differential equations via T2M
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Bundles of acceleration on Banach manifolds
Published in Nonlinear analysis (30-11-2005)“…We consider an infinite-dimensional manifold M modelled on a Banach space E and we construct smooth fiber bundle structures on the tangent bundle of order two…”
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Periodic value problems of differential systemson infinite-dimensional spaces and applications to differential geometry
Published in Computers & mathematics with applications (1987) (01-06-2004)“…Periodicity questions of differential systems on infinite-dimensional Hilbert spaces arestudied via a new methodology which is based on…”
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Second order tangent bundles of infinite dimensional manifolds
Published 29-10-2003“…The second order tangent bundle $T^{2}M$ of a smooth manifold $M$ consists of the equivalent classes of curves on $M$ that agree up to their acceleration. It…”
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Second order structures for sprays and connections on Frechet manifolds
Published 29-10-2008“…Ambrose, Palais and Singer \cite{Ambrose} introduced the concept of second order structures on finite dimensional manifolds. Kumar and Viswanath \cite{Kumar}…”
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