Results 71 to 80 of about 396,375 (242)
International Journal of Differential Equations, 2011 Based on the notion of generalized exponential dichotomy, this paper considers the topological decoupling problem between two kinds of nonlinear differential equations. The topological equivalent function is given.
Xiaodan Chen, Yonghui Xia
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On admissible perturbations for exponential dichotomy [PDF]
, 2008 In this work we obtain an optimal upper bound for exponential dichotomy roughness in infinite-dimensional Banach spaces. Unlike some previous works, we do not assume bounded growth.
Méndez, Osvaldo, Popescu, Liviu Horia
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Advanced Functional Materials, EarlyView.The effects of solid‐state electrolyte architecture and electrolyte/electrode interfacial polarization resistance on Critical Current Density and the risks for “interfacial” and “internal” Li‐metal dendrite formation were investigated in simulations of FIB‐reconstructed porous‐dense Li7La3Zr2O12 (LLZO) “bilayers”, providing insight for full cells ...
Tanner R. Hamann +2 more
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Abstract and Applied Analysis, 2014 Nonuniform exponential dichotomy has been investigated extensively. The essential condition of these previous results is based on the assumption that the nonlinear term satisfies |f(t,x)|≤μe−ε|t|. However, this condition is very restricted. There are few
Yong-Hui Xia +3 more
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Generalized exponential dichotomy and global linearization [PDF]
, 2005 Hartman's linearization theorem says that if all eigenvalues of matrix A have no zero real part and f(x) is small Lipschitzian, then nonlinear system x′=Ax+f(x) and its linear system x′=Ax are topologically equivalent.
Jiang, Liangping, Liangping Jiang
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Advanced Healthcare Materials, EarlyView.Engineered red blood cell‐derived extracellular vesicles (eRBCEVs) are synthesized via controlled microfluidic assembly from native RBC lipids, enabling tunable encapsulation of proteins, nucleic acids, nanoparticles, and viral vectors. The platform demonstrates reproducible nanoscale architecture, preserved membrane composition, and functional cargo ...
Chiranth K. Nagaraj +23 more
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Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays
Complexity, 2018 This paper focuses on the global exponential almost periodic synchronization of quaternion-valued neural networks with time-varying delays. By virtue of the exponential dichotomy of linear differential equations, Banach’s fixed point theorem, Lyapunov ...
Yongkun Li, Xiaofang Meng, Yuan Ye
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Advanced Healthcare Materials, EarlyView.In this study, Hammer et al. highlight cyclic‐arginine surface engineering as a highly biocompatible, controllable, and concentration‐dependent regulator of intravitreal nanoparticle mobility in vivo in a translational large animal model. The cyclic arginine surface‐modification supports the development of next‐generation biomaterials for long‐acting ...
Maximilian Hammer +12 more
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Exponential dichotomy of difference equations in
Advances in Difference Equations, 2006 For a sequence of bounded linear operators on a Banach space X, we investigate the characterization of exponential dichotomy of the difference equations vn+1 = Anvn.
Huy Nguyen Thieu, Ha Vu Thi Ngoc
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Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
Advanced Materials, EarlyView.This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
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