Results 31 to 40 of about 494 (181)
Oscillations of advanced difference equations with variable arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
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Oscillations of nonlinear difference equations with deviating arguments [PDF]
Mathematica Bohemica, 2018 This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
George E. Chatzarakis, Julio G. Dix
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Nonoscillatory solutions for the one-dimensional p-Laplacian
Journal of Computational and Applied Mathematics, 1998 The author studies the existence of nonoscillatory solutions of the equation \[ \Delta \Phi(\Delta x_{k-1})+f(k,x_k)=0,\quad k=1,2,\cdots \] where \(\Phi:R\rightarrow R\) is defined by \(\Phi(s)=|s|^{p-1}s\) (\(p>1\) fixed), \(f:N\times R\rightarrow R^+\) and \(\{x_k\}_1^\infty\) is a nonnegative sequence with infinitely many positive terms.
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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A New Adaptive Fuzzy Logic Controller Configuration for Control Systems Design
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.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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Global attractivity without stability for Liénard type systems
International Journal of Mathematics and Mathematical Sciences, 2001 We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable.
Marian Mureşan
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Oscillations of differential equations with non-monotone deviating arguments
Advances in Difference Equations, 2019 The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given.
George E. Chatzarakis +2 more
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Nonoscillatory solutions of nonlinear differential systems
Computers & Mathematics with Applications, 2003 Here, the system of \(n\) ordinary differential equations \[ \begin{aligned} x'_i&=a_i(t)f_i(x_{i+1}), \qquad\text{for }i=1,\dots,n-1, \\ x'_n&=-a_n(t)f_n(x_1) \end{aligned} \] is studied. The functions \(a_i(t)\) are supposed to be positive and continuous on \([t_0,\infty)\) for \(i=1,\dots,n\), and the functions \(f_i(u)\) are supposed to be ...
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Impact of Grid Strength on the Transient Dynamics of Droop‐ and VSM‐Based Grid‐Forming Converters
International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.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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On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
Discrete Dynamics in Nature and Society, 2008 This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang +5 more
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