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

