Exponential dichotomy and (ℓp,ℓq)-admissibility on the half-line [PDF]
We give necessary and sufficient conditions for uniform exponential dichotomy of discrete evolution families in terms of the admissibility of the pair (lp(N,X),l0q(N,X)).
Sasu, Bogdan, Sasu, Adina Luminiţa
core +1 more source
Loss of AMBRA1 activates MAPK and angiogenesis signaling pathways in melanoma cells
Loss of AMBRA1 in melanoma cells activates multiple oncogenic pathways associated with tumor progression. Transcriptomic and protein network analyses revealed that AMBRA1 depletion enhances MAPK/ERK signaling, angiogenesis, TGF‐β/EMT signaling, and Wnt/axon guidance pathways.
Milad Ibrahim +4 more
wiley +1 more source
On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces
This paper considers two general concepts of dichotomy for noninvertible and nonautonomous linear discrete-time systems in Banach spaces. These concepts use two types of dichotomy projections sequences (invariant and strongly invariant) and generalize ...
Mihai Gabriel Babuţia +2 more
doaj +1 more source
Stable manifolds for nonautonomous equations without exponential dichotomy [PDF]
We consider nonautonomous ordinary differential equations v′=A(t)v in Banach spaces and, under fairly general assumptions, we show that for any sufficiently small perturbation f there exists a stable invariant manifold for the perturbed equation v′=A(t)v+
Valls, Claudia, Barreira, Luis
core +1 more source
MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Some relations between Bohl exponents and the exponential dichotomy spectrum [PDF]
We study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a non-autonomous linear system of difference equations on the whole line Z. More specifically, we prove that for any initial condition in an invariant vector bundle,
Robledo Veloso, Gonzalo, Pinto, Nicolás
core +1 more source
Exponential dichotomy for noninvertible linear difference equations [PDF]
In this article we study exponential dichotomies for noninvertible linear difference equations in finite dimensions. After giving the definition, we study the extent to which the projection P(k) in a dichotomy is unique.
Battelli, F., Franca, M., Palmer, K. J.
core +1 more source
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
wiley +1 more source
On uniform exponential splitting for noninvertible evolution operators in Banach Spaces
The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.
Mihiţ Claudia Luminiţa +2 more
doaj +1 more source

