Results 91 to 100 of about 361,418 (224)

Existence of conjugacies and stable manifolds via suspensions

Electronic Journal of Differential Equations, 2017
We obtain in a simpler manner versions of the Grobman-Hartman theorem and of the stable manifold theorem for a sequence of maps on a Banach space, which corresponds to consider a nonautonomous dynamics with discrete time.
Luis Barreira, Davor Dragicevic, Claudia Valls   +2 more
doaj  

Conformal metrics of constant scalar curvature with unbounded volumes

Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley   +1 more source

Center manifolds and contractions on a scale of Banach spaces

Journal of Functional Analysis, 1987
AbstractWe give a new proof for the existence of a Ck-center manifold at a nonhyperbolic equilibrium point of a finite-dimensional vector field of class Ck. The problem is reduced to a fixed point problem on a scale of Banach spaces; these Banach spaces consist of mappings with a certain maximal exponential growth at infinity.
S. A. van Gils, André Vanderbauwhede
openaire   +2 more sources

Enhancing human gut health: Global innovations in dysbiosis management

iMeta, Volume 4, Issue 3, June 2025.
The microbiota, comprising all the microorganisms within the body, plays a critical role in maintaining good health. Dysbiosis represents a condition resulting from an imbalance or alteration of the microbiota. This study comprehensively investigates the patent literature on dysbiosis over the past 20 years.
Reda El Boukhari, Maima Matin, Latifa Bouissane, Michał Ławiński, Oleh Lushchak, Rajeev K. Singla, Michel‐Edwar Mickael, Jordi Mayneris‐Perxachs, Maria Eleni Grafakou, Shuhua Xu, Bowen Liu, Jiayi Guan, Andrzej Półtorak, Arkadiusz Szpicer, Agnieszka Wierzbicka, Nikolay T. Tzvetkov, Maciej Banach, Jarosław Olav Horbańczuk, Artur Jóźwik, Marco Cascella, Bairong Shen, Vasil Radoslavov Pirgozliev, Dongdong Wang, Olena Litvinova, Olga Adamska, Agnieszka Kamińska, Marcin Łapiński, Artur Stolarczyk, Ioana Berindan‐Neagoe, Luigi Milella, Andy Wai Kan Yeung, Prashanth Suravajhala, Anupam Bishayee, Ronan Lordan, Laszlo Barna Iantovics, Ricardo Lagoa, Monika Michalczuk, Jivko Stoyanov, A. Douglas Kinghorn, Banaz Jalil, Wolfram Weckwerth, Bey Hing Goh, Meng‐Yao Li, Gyaneshwer Chaubey, Gian Luigi Russo, Sara Frazzini, Luciana Rossi, Maurizio Battino, Wei Jia, Qi Su, Xiaoqiang Ma, Judith M. Rollinger, Simon K.‐M. R. Rittmann, Helen Sheridan, John J. Walsh, Gérard Lizard, Tomasz M. Karpiński, Ana Sanches Silva, Jakub Piwowarski, Liwei Xie, Tai‐Ping Fan, Francesca Giampieri, Adil El Midaoui, Ka‐Hing Wong, Ren‐You Gan, Ahmed Fatimi, Atanas G. Atanasov   +66 more
wiley   +1 more source

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

Integrability on Direct Limit Banach manifolds

, 2014
This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cabau, Patrick, Pelletier, Fernand
openaire   +2 more sources

The number of equilibria of smooth infinite economies with separable utilities [PDF]

We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of ...
Covarrubias, Enrique
core   +1 more source

On the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces

Revista Integración, 2015
Let H be a real (or complex) Hilbert space. Every nonnegative operator L ∈ L(H) admits a unique nonnegative square root R ∈ L(H), i.e., a nonnegative operator R ∈ L(H) such that R2 = L.
Jeovanny de Jesus Muentes Acevedo
doaj  

Correction to: Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces [PDF]

, 2021
Mazyar Ghani Varzaneh, Sebastian Riedel
openalex   +1 more source

Spectral sets as Banach manifolds [PDF]

Pacific Journal of Mathematics, 1985
Larotonda, Angel, Zalduendo, Ignacio
openaire   +3 more sources