NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENCE EQUATIONS WITH OSCILLATING COEFFICIENTS
Using the analogy with differential equations with deviated argument the authors study non-oscillatory solutions of the scalar equation \[ \Delta y_k = P^o_ky_k + \sum_1^nP^i_ky_{k-K^i_k} \] with bounded coefficients satisfying an oscillation condition.
Bolat, Yaşar, Akin, Ömer
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Existence of Nonoscillatory Solutions for System of Higher-Order Neutral Differential Equations with Distributed Deviating Arguments [PDF]
In this paper, we consider the existence of nonoscillatory solutions for system of variable coefficients higher-order neutral differential equations with distributed deviating arguments.
Jianwen Zhang, Youjun Liu, Jurang Yan
core
Nonoscillatory solutions of neutral differential equations
The paper deals with the neutral ODE \((*)\quad (d^ n/dt^ n)(x(t)- h(t)x(s(t)))+kp(t)f(x(g(t)))=0,\) \(n\geq 2\), \(k^ 2=1\), \(s(t)0\) for \(u\neq 0\), g(t)\(\to \infty\), \(t\to \infty\). A systematic study of the structure of all nonoscillatory solutions of the equation (*) is given.
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A New Adaptive Fuzzy Logic Controller Configuration for Control Systems Design
Adaptive fuzzy logic controller as a potential control scheme is introduced • Nonlinear gains based on tunable hyperbolic functions are used as input SFs • SFS algorithm is utilised for optimal design of controller parameters • Performance gained is explored on various test systems with and w/o dead time • A comparison with the cutting‐edge approaches ...
Emre Çelik
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Existence of nonoscillatory solutions for fractional neutral differential equations
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Yong Zhou 0005 +2 more
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Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II [PDF]
summary:We consider the half-linear differential equation of the form \[ (p(t)|x^{\prime }|^{\alpha }\mathrm{sgn}\,x^{\prime })^{\prime } + q(t)|x|^{\alpha }\mathrm{sgn}\,x = 0\,, \quad t \ge t_{0} \,, \] under the assumption that $p(t)^{-1/\alpha }$ is ...
Naito, Manabu, Manabu Naito
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Delayed Parasitism and Population Cycles in Mosquito–Water Mite Systems
This study uses a delay differential equation (DDE) model that takes into account both parasitism and predation effects to examine the dynamic interactions between water mites and mosquito populations. The proposed DDE model uniquely captures the dual ecological role of water mites as both parasites and predators of mosquitoes through biologically ...
Dipesh +4 more
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Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations
We investigate the existence of different types of nonoscillatory solutions to a class of higher-order nonlinear neutral dynamic equations on a time scale. Two examples are provided to show the significance of the conclusions.
Yang-Cong Qiu +3 more
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Nonoscillatory solutions of neutral delay differential equations [PDF]
Consider the following neutral delay differential equationwherep∈R,τ∈ (0, ∞), δ ∈R+= (0, ∞) and Q ∈ (C([t0, ∞),R). We show that ifthen Equation (*)has a nonoscillatory solution whenp≠ –1. We also deal in detail with a conjecture of Chuanxi, Kulenovic and Ladas, and Györi and Ladas.
Chen, Ming-Po, Yu, J. S., Wang, Z. C.
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Impact of Grid Strength on the Transient Dynamics of Droop‐ and VSM‐Based Grid‐Forming Converters
With the increasing use of converter‐based resources, it has become more crucial to comprehend the dynamic interaction between grid‐forming (GFM) control strategies and power system transients under different grid strengths. The transient performance of droop‐controlled and virtual synchronous machine (VSM)–based GFM converters exposed to significant ...
Qusay Salem +2 more
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