Results 31 to 40 of about 1,593 (172)
Nonoscillation of half-linear dynamic equations
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MATUCCI, SERENA, P. Rehak
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Explicit conditions for the nonoscillation of difference equations with several delays
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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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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Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
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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Nonoscillations in retarded systems
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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Optimized multidimensional nonoscillating deconvolution
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Morháč, M., Matoušek, V., Kliman, J.
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Asymptotic behavior of solutions of sum-difference equations
In this study, we present an investigation of the asymptotic behavior of solutions of sum-difference equations. Based on some mathematical inequalities, we have obtained our results.
H. Adiguzel, E. Can
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On Constants in Nonoscillation Criteria for Half-Linear Differential Equations
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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Antiprincipal solutions at infinity for symplectic systems on time scales
In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
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Necessary and Sufficient Conditions for Oscillation of Nonlinear Neutral Difference Systems of dim-2
This work is concerned about the necessary and sufficient conditions for oscillation of solutions of 2-dimensional nonlinear neutral delay difference systems of the form: Δ[x(n)+p(n)x(n−m)y(n)+p(n)y(n−m)]=[a(n)b(n)c(n)d(n)] [f(x(n−α))g(y(n−β))],\Delta ...
Tripathy Arun K., Das Sunita
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