Results 131 to 140 of about 550,218 (272)
On the Stability of the linear Transformation in Banach Spaces. [PDF]
, 1950 Tosio Aoki
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9975-9992, June 2025.ABSTRACT In this work, we combine two different existing two‐compartmental models of ethanol metabolism and propose a nonlinear three‐compartmental model of ethanol metabolism in the human body based on Michaelis‐Menten kinetics for elimination of ethanol in liver cells. Hence, we obtain a system of nonlinear differential equations, which describes the
Benjamin Wacker
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Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]
, 1941 Mahlon M. Day
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An arbitrarily distortable Banach space [PDF]
Israel J. Math. 76 (1991), no. 1-2, 81--95, 1991 In this work we construct a ``Tsirelson like Banach space'' which is arbitrarily distortable.
arxiv
Journal of Functional Analysis, 1996 AbstractWe show that a Banach spaceXhas a basis provided there are bounded linear finite rank operatorsRn: X→Xsuch that limnRnx=xfor allx∈X,RmRn=Rmin(m, n)ifm≠n, andRn−Rn−1factors uniformly throughlmnp's for somep. As an application we obtain conditions on a subsetΛ⊂Zsuch thatCΛ=closedspan{zk:k∈Λ}⊂C(T) andLΛ=closedspan{zk:k∈Λ}⊂L1(T) have bases.
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N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this article, a general solution formula is derived for the d×d${\sf d}\times {\sf d}$‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as N$N$‐solitons (in the sense of Goncharenko) with common phase matrix. It turns out
Sandra Carillo +2 more
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On approximate solutions of linear equations in Banach spaces [PDF]
, 1958 Vlastimil Pták
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On holomorphic Banach vector bundles over Banach spaces [PDF]
arXiv, 2005 We show, e.g., that a holomorphic Banach vector bundle over a pseudoconvex open subset of, say, Hilbert space is holomorphically trivial if it is continuously trivial. Some applications are also given.
arxiv
Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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