Results 61 to 70 of about 7,827 (246)
Admissible perturbations of exponential dichotomy roughness
Nonlinear Analysis: Theory, Methods & Applications, 1998 Consider the linear system \((*)\) \(dx/dt = A(t)x\) and the perturbed system \((**)\) \(dy/dt = (A(t)+ B(t))y\). It is assumed that \((*)\) has an exponential dichotomy. The authors derive conditions on the dichotomy constants and the norm \(| | B| | _\infty\) of the perturbation such that the exponential dichotomy of \((*)\) implies an ordinary or ...
Naulin, Raúl, Pinto Jiménez, Manuel
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Stabilizability of systems with exponential dichotomy [PDF]
Systems & Control Letters, 1987 Linear time-varying finite dimensional systems of the form \(\dot x(t)=A(t)x(t)+B(t)u(t)\), B, C are continuous real valued matrices, are considered. If \({\mathcal V}\) denotes a linear subspace of the function space of free motions \(\{\) x(\(\cdot)| \dot x=Ax\}\) the concept of controllability of the free trajectories into \({\mathcal V}\) is ...
Ilchmann, Achim, Kern, Günter
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Advanced Functional Materials, EarlyView.A dual‐layer living hydrogel, ProΦGel, integrates bacteriophages and probiotics for synergistic wound infection therapy. The outer gelatin‐based matrix releases phages on demand in response to P. aeruginosa infections, while inner alginate beads sustain probiotic delivery.
Siyuan Tao +6 more
wiley +1 more source
The Connectivity of Boolean Satisfiability: No-Constants and Quantified Variants [PDF]
, 2015 For Boolean satisfiability problems, the structure of the solution space is characterized by the solution graph, where the vertices are the solutions, and two solutions are connected iff they differ in exactly one variable.
Schwerdtfeger, Konrad W.
core
Exponential Dichotomies for Elliptic PDE on Radial Domains [PDF]
, 2020 It was recently shown by the authors that a semilinear elliptic equation can be represented as an infinite-dimensional dynamical system in terms of boundary data on a shrinking one-parameter family of domains. The resulting system is ill-posed, in the sense that solutions do not typically exist forward or backward in time.
Beck, Margaret +4 more
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Advanced Functional Materials, EarlyView.Automat optical inspection (AOI) techniques in semiconductor fabrication can be leveraged in battery manufacturing, enabling scalable detection and analysis of electrode‐ and cell‐level imperfections through AI‐driven analytics and a digital‐twin framework.
Jianyu Li, Ertao Hu, Wei Wei, Feifei Shi
wiley +1 more source
Lyapunov functions for dichotomies in mean
Electronic Journal of Differential Equations, 2017 We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure.
Luis Barreira, Claudia Valls
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Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley +1 more source
Electro‐Chemo‐Mechanical Coupling in Hf0.5Zr0.5O2 Ferroionic Heterostructures
Advanced Functional Materials, EarlyView.Schematic of a ferroionic HZO heterostructure where epitaxial interfaces enable dynamic oxygen‐vacancy exchange, coupling ionic and ferroelectric degrees of freedom. Vacancy‐mediated polarization modulation biases HZO polymorphism, suppresses leakage, and enhances piezoelectric response, yielding distinct butterfly‐loop evolution and diode‐like ...
Achilles Bergne +17 more
wiley +1 more source
Psi-exponential dichotomy for linear differential equations in a Banach space
Electronic Journal of Differential Equations, 2013 In this article we extend the concept psi-exponential and psi-ordinary dichotomies for homogeneous linear differential equations in a Banach space.
Atanaska Georgieva +3 more
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