Results 91 to 100 of about 42,543 (276)
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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Advanced Functional Materials, EarlyView.Synthesis and characterization of light‐responsive donor–acceptor Stenhouse adducts (DASA)‐coated chlorhexidine‐loaded silica nanoparticles. Such a controllable drug‐delivery system enables the release of the antimicrobial drug on demand and in consecutive cycles, thereby maintaining the concentration within the therapeutic window.
Michèle Clerc +9 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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Advanced Functional Materials, EarlyView.Electrochromic polymer stability under overpotential is improved by inserting an ultrathin, transparent n‐doped poly(benzodifurandione) interlayer between indium tin oxide and a poly(3,4‐propylenedioxythiophene)‐based electrochromic polymer. The interlayer supports rapid switching at operating bias, then becomes resistive near +0.8 V to suppress excess
Priyanka Rout +4 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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When Economic Growth is Less than Exponential [PDF]
This paper argues that growth theory needs a more general notion of “regularity” than that of exponential growth. We suggest that paths along which the rate of decline of the growth rate is proportional to the growth rate itself deserve attention.
Christian Groth +2 more
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Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes
Advanced Functional Materials, EarlyView.The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray +3 more
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Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?
Advanced Functional Materials, EarlyView.This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee +7 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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Pseudo almost periodic solutions for a class of differential equation with delays depending on state
Advances in Nonlinear Analysis, 2019 In this paper, the exponential dichotomy, and Tikhonov and Banach fixed point theorems are used to study the existence and uniqueness of pseudo almost periodic solutions of a class of iterative functional differential equations of the ...
Zhao Hou Yu
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