Results 41 to 50 of about 29,963 (198)
Demonstratio Mathematica, 2020 In this article, we present a sufficient condition about the length of the interval for the existence and uniqueness of mild solutions to a fractional boundary value problem with Sturm-Liouville boundary conditions when the data function is of ...
Harjani Jackie +2 more
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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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LYAPUNOV TYPE INEQUALITY FOR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM
South East Asian J. of Mathematics and Mathematical Sciences, 2023 In this paper we consider the discrete fractional boundary value problem. The Green’s function and it’s properties are used to find maximum value of function. With the help of maximum value of the function Lyapunov type inequality is obtain for this problem.
Abuj, Narayan G., Pachpatte, Deepak B.
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Arbitrary Order Fractional Difference Operators with Discrete Exponential Kernels and Applications
Discrete Dynamics in Nature and Society, 2017 Recently, Abdeljawad and Baleanu have formulated and studied the discrete versions of the fractional operators of order ...
Thabet Abdeljawad +2 more
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A Characterization of Lyapunov Inequalities for Stability of Switched Systems
, 2016 We study stability criteria for discrete-time switched systems and provide a meta-theorem that characterizes all Lyapunov theorems of a certain canonical type.
Ahmadi, Amirali +3 more
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Some discrete fractional Lyapunov-type inequalities [PDF]
Fractional Differential Calculus, 2015 Summary: In this work, we obtain Lyapunov-type inequalities for two-point conjugate and right-focal boundary value problems depending on discrete fractional operators \(\Delta^\alpha ...
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Advanced Intelligent Systems, EarlyView.This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
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On multivariate higher order Lyapunov-type inequalities [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji, Tieguo, Fan, Jie
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AI &Innovation, EarlyView.ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury +2 more
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Journal of Applied Mathematics, 2012 The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in ...
Weiwei Zhang, Linshan Wang
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