Results 11 to 20 of about 863 (176)

On Constants in Nonoscillation Criteria for Half-Linear Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2011
We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation.
Simona Fišnarová, Robert Mařík
doaj   +2 more sources

Riccati technique and nonoscillation of damped linear dynamic equations with the conformable derivative on time scales

open access: yesResults in Applied Mathematics
In this study, we investigate the use of damped linear dynamic equations with the conformable derivative on time scales to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential and discrete ...
Kazuki Ishibashi
doaj   +2 more sources

Nonoscillation in nonlinear difference equations [PDF]

open access: yesComputers & Mathematics with Applications, 1994
The authors establish some necessary conditions on the nonoscillation of the nonlinear difference equation \(\Delta \psi (\Delta x_{k - 1}) + a_ k \psi (x_ k) = 0\), \(k = 1,2, \dots\), where \(\psi : \mathbb{R} \to \mathbb{R}\) is defined by \(\psi (s) = | s |^{p - 2} s\) with \(p > 1\) a fixed real number, and \(\{a_ k\}^ \infty_ 1\) is a nonnegative
Li, Horng Jaan, Yeh, Cheh Chih
openaire   +2 more sources

Nonoscillation of First-Order Dynamic Equations with Several Delays [PDF]

open access: yesAdvances in Difference Equations, 2010
For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the ...
Karpuz Başak, Braverman Elena
doaj   +3 more sources

Halobacterium salinarum NRC-1 Sustains Voltage Production in a Dual-Chambered Closed Microbial Fuel Cell. [PDF]

open access: yesScientificWorldJournal, 2022
Sustained bioenergy production from organisms that thrive in high salinity, low oxygen, and low nutrition levels is useful in monitoring hypersaline polluted environments. Microbial fuel cell (MFC) studies utilizing single species halophiles under salt concentrations higher than 1 M and as a closed microbial system are limited.
Goncalves RO   +6 more
europepmc   +2 more sources

On slow oscillation and nonoscillation in retarded equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
Sufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.
Bhagat Singh
doaj   +2 more sources

Nonoscillation theorems for functional differential equations of arbitrary order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations.
John R. Graef   +5 more
doaj   +2 more sources

Oscillatory Behaviour of a First-Order Neutral Differential Equation in relation to an Old Open Problem

open access: yesInternational 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
doaj   +2 more sources

Slime-Groove Drag Reduction Characteristics and Mechanism of Marine Biomimetic Surface. [PDF]

open access: yesAppl 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]

open access: yesComput 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
europepmc   +2 more sources

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