Results 61 to 70 of about 6,679 (236)
Global attractivity of a higher order nonlinear difference equation with decreasing terms
Electronic Journal of Qualitative Theory of Differential EquationsIn the present paper, we further study the asymptotical behavior of the following higher order nonlinear difference equation \begin{equation*} x(n+1)= ax(n)+ bf( x(n)) + cf(x(n-k)), \qquad n=0, 1, \dots \end{equation*} where $a, b $ and $c$ are constants
Xiao Wang, Chuanxi Qian
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Global Attractivity of a Family of Max-Type Difference Equations
Discrete Dynamics in Nature and Society, 2011 We propose to study a generalized family of max-type difference equations and then prove the global attractivity of a particular case of it under some parameter conditions.
Xiaofan Yang, Wanping Liu, Jiming Liu
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Advanced Engineering Materials, EarlyView.The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza +3 more
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On the Difference Equation xn+1=∑j=0kajfj(xn−j)
Discrete Dynamics in Nature and Society, 2007 This paper studies the boundedness character and the global attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…
Stevo Stevic
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3D‐Printed Serial Snap‐Through Architectures for Programmable Mechanical Response
Advanced Engineering Materials, EarlyView.A serial snap‐through architecture is realized using compact 3D‐printed von Mises truss units arranged in a staged cascade. Their geometry and boundary conditions program multistage mechanical responses with plateaux and re‐hardening regimes. An inverted‐compliance model predicts these behaviors and enables analytical design of programmable force ...
Filipe A. Santos
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Journal of Applied Mathematics, 2014 By constructing a suitable Lyapunov functional, the global attractivity of positive periodic solutions for a delayed predator-prey system with diffusion and impulses is studied in this paper.
Yuanfu Shao, Xiaolan Xie, Zhixiang Ju
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Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
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Advanced Functional Materials, EarlyView.A lack of standard approaches for testing and reporting the performance of metal halide perovskites and organic semiconductor radiation detectors has resulted in inconsistent interpretation of performance parameters, impeding progress in the field. This Perspective recommends key metrics and experimental details, which are suggested for reporting in ...
Jessie A. Posar +8 more
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On the Global Attractivity of a Max-Type Difference Equation
Discrete Dynamics in Nature and Society, 2009 We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation 𝑥𝑛=max{𝐴/𝑥𝑛−1,1/𝑥𝛼𝑛−3},𝑛=0,1,…, where 𝐴>0 and ...
Ali Gelişken, Cengiz Çinar
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Stability and attractivity for a class of dissipative phenomena
, 2001 We consider initial-boundary-value problems for a class of nonlinear third order equations having non-autonomous forcing terms and get new asymptotic stability results by means of the Liapunov second method.
D'Anna, Armando, Fiore, Gaetano
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