Results 121 to 130 of about 2,468,981 (349)
A note on the solutions of neutral SFDEs with infinite delay [PDF]
The main aim of this paper is to discuss the existence and uniqueness of solution of the neutral stochastic functional differential infinite delay equations under a non-Lipschitz condition and a weakened linear growth condition. Furthermore, an estimate for the error between approximate solution and accurate solution is given.
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The glomerular filtration barrier (GFB) is the first step of blood filtration by the kidneys. The concerning increase of kidney diseases makes the development of new models essential. In this context, microphysiological glomerular filtration barriers focus on closely reproducing the physiological architecture of the in vivo GFB: podocytes, glomerular ...
Manon Miran+5 more
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Semilinear functional difference equations with infinite delay
Abstract We obtain boundedness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications to Volterra difference equations with infinite delay are shown.
Claudio Cuevas+2 more
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In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia+2 more
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Collocation methods for nonlinear Volterra integro-differential equations with infinite delay [PDF]
Hermann Brunner
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Infinite time problems with shifted and delayed controls
AbstractIn a recent paper, Warga and Zhu studied optimal control problems defined by functional-integral equations with variable shifts in the controls and with the shifted controls nonadditively coupled. Properness (approximation of relaxed minimizers with original controls) of a certain relaxation procedure was established, leading to a “basic theory”
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The study presents an efficient simulation approach for the polymer laser powder bed fusion process polymers process, validated with polyamide 12, polyamide 6, and polyetherketoneketone. It shows that inter layer time affects part density, with 90s yielding dense parts.
Claas Bierwisch+4 more
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BSDEs on Finite and Infinite Horizon with Time-Delayed Generators
We consider a backward stochastic differential equation with a generator that can be subjected to delay, in the sense that its current value depends on the weighted past values of the solutions, for instance a distorted recent average. Existence and uniqueness results are provided in the case of possibly infinite time horizon for equations with, and ...
Ludovic Tangpi, Peng Luo
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We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii’s fixed point theorem, some new sufficient ...
Juqing Liu, Kaihong Zhao
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Temporal power modulation increases weld depth in high‐power laser beam welding of dissimilar round bars by nearly 20% compared to same average continuously welded welding power. The mechanism of action also applies to sheet welding and depends on the inertia of keyhole depth for the modulated laser beam power.
Jan Grajczak+7 more
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