Results 21 to 30 of about 396,375 (242)
Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Some roughness results concerning reducibility for linear difference equations
International Journal of Mathematics and Mathematical Sciences, 1988 In this paper we prove first that the exponential dichotomy of linear difference equations is rough. Moreover we prove that if the coefficient matrix of a linear difference equation is almost periodic, then the Joint property of having an exponential ...
Garyfalos Papaschinopoulos
doaj +1 more source
On the Exponents of Exponential Dichotomies
Mathematics, 2020 An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between the ...
Flaviano Battelli, Michal Fečkan
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Exact bounds for exponential dichotomy roughness I. Strong dichotomy [PDF]
, 1988 The objective of this series of papers is to establish exact estimates of the exponential dichotomy roughness.
Vinograd, Robert E
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Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
Journal of Function Spaces and Applications, 2013 The aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces.
Xiao-qiu Song, Tian Yue, Dong-qing Li
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DECOMPOSITION OF Cm THROUGH Q-PERIODIC DISCRETE EVOLUTION FAMILY [PDF]
Matrix Science Mathematic, 2019 Let U={U (m,n) : m,n ∈ Z+} n≥m≥0 be the q-periodic discrete evolution family of square size matrices of order m having complex scalars as entries generated by L(C^m-valued, q-periodic sequence of square size matrices (An)n∈Z+ where q≥2 is a natural ...
Akbar Zada, Hafiz Ullah
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Integral conditions for exponential dichotomy: A nonlinear approach [PDF]
, 2010 We give new necessary and sufficient integral conditions for the existence of exponential dichotomy of skew-product flows. Our methods are based on the structure of the associated stable subspace and unstable subspace.
Sasu, Bogdan
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Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Generalized Exponential Trichotomies for Abstract Evolution Operators on the Real Line
Journal of Function Spaces and Applications, 2013 This paper considers two trichotomy concepts in the context of abstract evolution operators. The first one extends the notion of exponential trichotomy in the sense of Elaydi-Hajek for differential equations to abstract evolution operators, and it is a ...
Nicolae Lupa, Mihail Megan
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Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source