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An immuno-epidemiological model with waning immunity after infection or vaccination. [PDF]
J Math BiolAngelov G +3 more
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Continuation methods in Banach manifolds [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2007 Sufficient conditions are given to assert that a perturbed mapping has a zero in a Banach manifold modelled over ℝ n . The zero is estimated by means of sequences of Newton's iterations. The proof of the result is constructive and is based upon continuation methods.
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Stokes Formula for Banach Manifolds
Ukrainian Mathematical Journal, 2021We propose a divergent version of the Stokes formula for a Banach manifold with uniform atlas.
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Integral stable manifolds in Banach spaces
Journal of the London Mathematical Society, 2008AbstractWe establish the existence of smooth integral stable manifolds for sufficiently small perturbations of nonuniform exponential dichotomies in Banach spaces. We also consider the case of a nonautonomous dynamics given by a sequence of C1 maps.
Luis Barreira +2 more
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Morse theory on Banach manifolds
Acta Mathematica Sinica, 1989LetM be aC2-Finsler manifold modeled on a Banach space, and letf be aC2-real-valued function defined onM. Using theA-gradient vector field which was introduced in [31] we give a suitable definition for nondegenegacy of critical points off, then generalize the Morse handle-body decomposition theorem and the Morse inequalities to a kind of Banach ...
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Integrability of singular distributions on Banach manifolds
Mathematical Proceedings of the Cambridge Philosophical Society, 1976One of the key results in the work of the second author ((7), (8)) on integrability of systems of vectorfields is the theorem which relates integrability of a distribution to the concept of homogeneity. In this paper, we show that the homogeneity theorem also applies in an infinite-dimensional context, and this allows us to derive infinite-dimensional ...
Peter Stefan, D. R. J. Chillingworth
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A criterion for Banach manifolds to be finite-dimensional
Ukrainian Mathematical Journal, 1995We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball.
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Differentiable Closed Embeddings of Banach Manifolds
1970In this paper a manifold X is a C k -manifold which is paracompact, normal, separable, and of differentiability class k, modelled on a separable Banach space B, whose norm is a k-times continuously differentiable function outside 0∈B, k≦ ∞. B with that norm is called a C k -Banach space.
Besseline Terpstra-Keppler +1 more
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Deformations of Banach Coverings of Complex Manifolds
American Journal of Mathematics, 1968Introduction. In this paper we investigate branched coverings of compact complex manifolds and, in particular, we answer certain questions connected with the deformation theory of branched coverings. Let M and W be compact complex manifolds, 311 a branched k-sheeted covering of W. The Main Theorem of ?
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