Results 141 to 150 of about 5,092,236 (288)
Extreme contractions on finite-dimensional polygonal Banach spaces
, 2019 We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if $ X $ is an $ n- $dimensional polygonal Banach space and $ Y $ is any Banach space and
Paul, Kallol +2 more
core
Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9726-9743, June 2025.ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley +1 more source
Some isomorphically polyhedral Orlicz sequence spaces [PDF]
arXiv, 1993 A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is $c_0$-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of $c_0$.
arxiv
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9920-9933, June 2025.ABSTRACT In this article, we provided fixed‐point results for (Θ,G1)$$ \left(\Theta, {G}_1\right) $$‐quasirational contraction and (Θ,G2)$$ \left(\Theta, {G}_2\right) $$‐quasirational contraction within the setting of triple controlled metric‐like spaces.
Sadia Farooq +3 more
wiley +1 more source
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
wiley +1 more source
Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces
Abstract and Applied Analysis, 2013 We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with ...
X. J. Wan, Y. P. Zhang, J. T. Sun
doaj +1 more source
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.
openaire +2 more sources
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
wiley +1 more source
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