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Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses [PDF]

open access: yesMediterranean Journal of Mathematics, 2015
The paper deals with the following problem involving a semilinear differential equation subject to the action of non-istantaneous impulses: \[ \begin{aligned} & u'(t)=Au(t)+f(t,u(t))\;,\;t\in [s_i,t_{i+1}],\, i\in \mathbb{N},\\ & u(t)=g_i(t,N_i(t)(u))\;,\;t\in (t_i,s_i],\, i\in \mathbb{N},\\ & u(0)=x_0, \end{aligned} \] where: \(A:D(A)\subseteq X\to X\)
Pierri, Michelle   +2 more
openaire   +3 more sources

Intelligent Sky Guardians (InSkyGuard): An Aerial Robotic Swarm for Autonomous Detection and Entrapment of Rogue Multirotors

open access: yesAdvanced Robotics Research, EarlyView.
Intelligent Sky Guardians (InSkyGuard) is introduced as a four‐drone swarm that autonomously detects, tracks, and safely captures rogue drones using a coordinated net system. Computer vision and leader–follower control architecture enable synchronized enclosure, while integrated failsafes enhance system reliability. Validated through closed‐environment
Joshua Hastings   +6 more
wiley   +1 more source

NeuroSuite for Long‐Term Functional and Structural Studies of Air‐Liquid Interface Cerebral Organoids

open access: yesAdvanced Science, EarlyView.
NeuroSuite provides a modular hardware‐software platform integrating Neuroweb and NeuroMaps to enable long‐term, in situ electrophysiological interrogation of air–liquid interface organoid slices while preserving tissue architecture. Its components can be used together or independently to capture real‐time activity, spatial network dynamics, and ...
Belquis Haider   +14 more
wiley   +1 more source

Fractional differential equations with impulses-analysis of some errors

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
Fractional differential equations with impulses have been studied over the past decades. A methodology often used for the Caputo fractional derivative case is to change the problem into an equivalent integral equation in a space of piecewise continuous ...
Jeff Webb
doaj   +1 more source

Toward Prostate Cancer Early Warning with a Self‐Powered Wearable Biosensing Platform Integrated with Machine Learning

open access: yesAdvanced Science, EarlyView.
ABSTRACT Current prostate cancer detection methods remain limited in non‐invasiveness and specificity, prompting interest in urinary biomarkers such as sarcosine. Here, we report a urine‐powered wearable platform for non‐invasive sarcosine detection as a proof‐of‐concept for decentralized early warning.
Jing Xu   +10 more
wiley   +1 more source

Optimal and total controllability approach of non-instantaneous Hilfer fractional derivative with integral boundary condition.

open access: yesPLoS ONE
The focus of this work is on the absolute controllability of Hilfer impulsive non-instantaneous neutral derivative (HINND) with integral boundary condition of any order.
Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Identifying Reliable and Relatable Force–Time Metrics in Athletes—Considerations for the Isometric Mid-Thigh Pull and Countermovement Jump

open access: yesSports, 2020
The purpose of this study was to evaluate intrasession reliability of countermovement jump (CMJ) and isometric mid-thigh pull (IMTP) force–time characteristics, as well as relationships between CMJ and IMTP metrics. Division I sport and club athletes (n =
Justin J. Merrigan   +3 more
doaj   +1 more source

Thermochemical Micro‐Explosion for Prompt Thrombolysis via Proximal Injection of Liquid Alkali Metal

open access: yesAdvanced Science, EarlyView.
We report a micro‐explosive thermochemical thrombolysis (METCT) therapy via injectable liquid alkali metal encapsulated in dimethyl silicone (LAM@oil). METCT enables prompt and safe vascular recanalization within 90 s. Critically, the LAM@oil system demonstrates significantly higher thrombolytic efficacy compared to clinically available thrombolytic ...
Xin Liao   +7 more
wiley   +1 more source

In-Process Monitoring of Changing Dynamics of a Thin-Walled Component During Milling Operation by Ball Shooter Excitation

open access: yesJournal of Manufacturing and Materials Processing, 2020
During the milling of thin-walled workpieces, the natural frequencies might change radically due to the material removal. To avoid resonant spindle speeds and chatter vibration, a precise knowledge of the instantaneous modal parameters is necessary. Many
Daniel Bachrathy   +5 more
doaj   +1 more source

On abstract differential equations with non instantaneous impulses

open access: yesTopological Methods in Nonlinear Analysis, 2015
We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.
Hernández, Eduardo   +2 more
openaire   +3 more sources

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