Results 11 to 20 of about 236,502 (262)
Advances in Difference Equations, 2020 The spread of an epidemic diseases is stochastic in nature. It is more realistic to include this stochasticity when modelling the dynamics of a communicable disease.
Kamaleldin Abodayeh +5 more
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The Feynman–Kac Representation and Dobrushin–Lanford–Ruelle States of a Quantum Bose-Gas
Mathematics, 2020 This paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in Rd. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a boundary condition at the border of a ‘box’).
Yuri Suhov, Mark Kelbert, Izabella Stuhl
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Infrastructures, 2023 The assessment of concrete infrastructures’ functionality during natural hazards is fundamental in evaluating their performance and emergency response.
Md Asif Rahman, Yang Lu
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Infinite number of stable periodic solutions for an equation with negative feedback
Electronic Journal of Qualitative Theory of Differential Equations, 2011 For all $\mu>0$, a locally Lipschitz continuous map $f$ with $xf\left(x\right)>0$, $x\in\mathbb{R}\setminus\left\{ 0\right\} $, is constructed, such that the scalar equation $\dot{x}\left(t\right)=-\mu x\left(t\right)-f\left(x\left(t-1\right)\right ...
Gabriella Vas
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Buildings, 2023 The construction of transformer substations in transmission lines is a systematic, technical, and complex project with the need for numerous materials and resources. Under the development of the green economy, the requirements for energy conservation and
Xigang Liu +8 more
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On the fundamental solution of linear delay differential equations with multiple delays
Electronic Journal of Qualitative Theory of Differential Equations, 2011 For a class of linear autonomous delay differential equations with parameter $\alpha$ we give upper bounds for the integral $\int_{0}^{\infty}\left|X\left(t,\alpha\right)\right|\mbox{d}t$ of the fundamental solution $X\left(\cdot,\alpha\right)$.
Gabriella Vas, Tibor Krisztin
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Modeling and Reasoning of Contexts in Smart Spaces Based on Stochastic Analysis of Sensor Data
Applied Sciences, 2022 In the last decade, smart spaces and automatic systems have gained significant popularity and importance. Moreover, as the COVID-19 pandemic continues, the world is seeking remote intervention applications with autonomous and intelligent capabilities ...
Jae Woong Lee, Abdelsalam Helal
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Gevrey class regularity for analytic differential-delay equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper considers differential-delay equations of the form \[x'(t)=p(t)x(t-1),\] where the coefficient function $p\colon\mathbb{R}\rightarrow\mathbb{C}$ is analytic and not bounded on any $\delta$-neighborhood of the intervals $\left(-\infty,\gamma ...
Roger Nussbaum, Gabriella Vas
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Measurement Science Review, 2020 The generalized maximum likelihood algorithm is introduced for detecting the abrupt change in the band center of a fast-fluctuating Gaussian random process with the uniform spectral density.
Chernoyarov Oleg +3 more
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A limit theorem for singular stochastic differential equations
Modern Stochastics: Theory and Applications, 2016 We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
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