Results 11 to 20 of about 747 (174)
Explicit conditions for the nonoscillation of difference equations with several delays [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We present a sharp explicit condition sufficient for the nonoscillation of solutions to a scalar linear nonautonomous difference equation with several delays.
Vera Malygina, Kirill Chudinov
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International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we obtain sufficient conditions for oscillation and nonoscillation of the solutions of the neutral delay differential equation yt−∑j=1kpjtyrjt′+qtGygt−utHyht=ft, where pj and rj for each j and q,u,G,H,g,h, and f are all continuous ...
K. C. Panda, R. N. Rath, S. K. Rath
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Slime-Groove Drag Reduction Characteristics and Mechanism of Marine Biomimetic Surface. [PDF]
Appl Bionics Biomech, 2022 With the development of science and technology, energy consumption and demand continue to increase, and energy conservation and consumption reduction have become the primary issue facing the world. Improving the energy efficiency of ships not only helps reduce fuel consumption but also reduces carbon dioxide emissions, which is an important guarantee ...
Yan M +6 more
europepmc +2 more sources
Brain Connectivity Studies on Structure-Function Relationships: A Short Survey with an Emphasis on Machine Learning. [PDF]
Comput Intell Neurosci, 2021 This short survey reviews the recent literature on the relationship between the brain structure and its functional dynamics. Imaging techniques such as diffusion tensor imaging (DTI) make it possible to reconstruct axonal fiber tracks and describe the structural connectivity (SC) between brain regions.
Wein S +6 more
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Electronic Journal of Differential Equations, 2016 We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional.
Ondrej Dosly, Vojtech Ruzicka
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Oscillation and nonoscillation criteria for delay differential equations [PDF]
Proceedings of the American Mathematical Society, 1995 Oscillation and nonoscillation criteria for the first-order delay differential equation \[ x ′
Elbert, A., Stavroulakis, I. P.
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Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations [PDF]
Opuscula Mathematica, 2022 The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using ...
Kazuki Ishibashi
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Oscillation and nonoscillation of Hill's equation with periodic damping
Journal of Mathematical Analysis and Applications, 2003 In this elegant and well-written paper, the authors study the second-order linear differential equation with damping \[ y^{\prime\prime}+p(t)y^{\prime}+q(t)=0,\qquad t\geq0,\tag{1} \] where \(p(t)\) and \(q(t)\) are continuous periodic functions of period \(T.\) It is a well-known fact that the second-order linear differential equation \[ u^{\prime ...
Kwong, Man Kam, Wong, James S.W.
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PINN‐CDR: A Neural Network‐Based Simulation Tool for Convection‐Diffusion‐Reaction Systems
International Journal of Intelligent Systems, Volume 2023, Issue 1, 2023., 2023 In this paper, a discretization‐free approach based on the physics‐informed neural network (PINN) is proposed for solving the forward and inverse problems governed by the nonlinear convection‐diffusion‐reaction (CDR) systems. By embedding physical information described by the CDR system in the feedforward neural networks, PINN is trained to approximate
Qingzhi Hou +6 more
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Second‐order impulsive differential systems with mixed delays: Oscillation theorems
Mathematical Methods in the Applied Sciences, Volume 45, Issue 18, Page 12184-12195, December 2022., 2022 In this work, we obtain necessary and sufficient conditions for the oscillation of solutions of a second‐order neutral differential equation with impulses. Two examples are provided to show the effectiveness and feasibility of the main results. Our main tool is the Lebesgue's Dominated Convergence theorem.
Shyam Sundar Santra +2 more
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