Results 21 to 30 of about 186 (128)
Nonoscillation of Linear Difference Systems
Journal of Mathematical Analysis and Applications, 1994 For the system \(\Delta x = A(t)x\) with \(\Delta x(t) = x(t + 1) - x(t)\), similar nonoscillatory conditions are obtained as in the well known case \(x'(t) = A(t)x\), cf. \textit{S. Friedland} [Mem. Am. Math. Soc. 176 (1976; Zbl 0348.34023)]. In particular, the two-dimensional case is considered in detail.
Lafaut, R.N., Muldowney, J.S.
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The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
Discrete Dynamics in Nature and Society, Volume 2020, Issue 1, 2020., 2020 In this paper, the oscillatory of the Kamenev‐type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t ≥ t0 and 0 < α ≤ 1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation.
Hui Liu, Run Xu, Francisco R. Villatoro
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Nonoscillation of half-linear dynamic equations
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MATUCCI, SERENA, P. Rehak
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Explicit conditions for the nonoscillation of difference equations with several delays
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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Nonoscillations in retarded systems
Journal of Mathematical Analysis and Applications, 2005 Consider the equation \[ x(t)+ \int^0_{-1} d[\nu(\theta)]x(t- r(\theta))= 0,\tag{1} \] where \(x(t)\in \mathbb{R}^n\), \(r\in C([-1,0], \mathbb{R}_+)\), and \(\nu(\theta)\) is a real \(n\times n\) matrix valued function of bounded variation on \([-1, 0]\).
Pinelas, Sandra, Ferreira, José M.
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Axioms, 2020 In this work, we present some new sufficient conditions for the oscillation of a class of second-order neutral delay differential equation. Our oscillation results, complement, simplify and improve recent results on oscillation theory of this type of non-
Shyam Sundar Santra +2 more
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Optimized multidimensional nonoscillating deconvolution
Journal of Computational and Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morháč, M., Matoušek, V., Kliman, J.
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
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Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
Mathematics, 2022 In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory ...
Ya-Ru Zhu +4 more
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On Constants in Nonoscillation Criteria for Half-Linear Differential Equations
Abstract 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
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