Results 101 to 110 of about 47,271 (274)
Lower bounds for eigenvalues of the one-dimensional p-Laplacian
Abstract and Applied Analysis, 2004 We present sharp lower bounds for eigenvalues of the one-dimensional p-Laplace operator. The method of proof is rather elementary, based on a suitable generalization of the Lyapunov inequality.
Juan Pablo Pinasco
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Lyapunov-type inequalities for nonlinear systems
Journal of Mathematical Analysis and Applications, 2007 The authors consider a nonlinear system of differential equations in the form \[ \begin{aligned} & x'(t) = \alpha _1 (t)x(t) + \beta _1 (t)\left| {u(t)} \right| ^{\gamma - 2}u(t), \\ & u'(t) = - \beta _2 (t)\left| {x(t)} \right| ^{\beta - 2}x(t) - \alpha _1 (t)u(t),\end{aligned} \tag{1} \] containing as special cases the well-known equations of Emden ...
Tiryaki, Aydin +2 more
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Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
Journal of Applied Mathematics, 2013 This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations.
Sirada Pinjai, Kanit Mukdasai
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On a Lyapunov-Type Inequality for Control of a ψ-Model Thermostat and the Existence of Its Solutions [PDF]
, 2022 Shahram Rezapour +3 more
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On Metric Choice in Dimension Reduction for Fréchet Regression
International Statistical Review, EarlyView.Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
State estimation for complex-valued memristive neural networks with time-varying delays
Advances in Difference Equations, 2018 This paper focuses on the state estimation problem for complex-valued memristive neural networks with time-varying delays. By utilizing Lyapunov stability theory and some matrix inequality techniques, based on a novel Lyapunov functional, a sufficient ...
Runan Guo, Ziye Zhang, Ming Gao
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A Lyapunov-type inequality for a -Laplacian operator
Nonlinear Analysis: Theory, Methods & Applications, 2011 For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
Sanchez, Justino, Vergara, Vicente
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
On the Convergence of Bounded Solutions of Non Homogeneous Gradient-like Systems
Journal of Advanced Engineering and Computation, 2017 We study the long time behavior of the bounded solutions of non homogeneous gradient-like system which admits a strict Lyapunov function. More precisely, we show that any bounded solution of the gradient-like system converges to an accumulation point as ...
Phuong Minh Tran, Nhan Thanh Nguyen
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