Oscillation results for second order half-linear neutral delay differential equations with "maxima"
Tamkang Journal of Mathematics, 2017 In this paper, we present some oscillation criteria for the second order half-linear neutral delay differential equation with ``maxima" of the from\begin{equation*}\left(r(t)((x(t)+p(t)x(\tau(t)))')^{\alpha}\right)'+q(t) \max_{[\sigma(t),\;t]}x^{\alpha}(s)=0\end{equation*}under the condition $\int_{t_0}^{\infty}\frac{1}{r^{1/ \alpha}(t)}dt<\infty ...
Selvarangam Srinivasan +2 more
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On the oscillation of second-order half-linear functional differential equations with mixed neutral term [PDF]
Journal of Taibah University for Science, 2019 In this article, the authors establish new sufficient conditions for the oscillation of solutions to a class of second-order half-linear functional differential equations with mixed neutral term. The results obtained improve and complement some known results in the relevant literature. Examples illustrating the results are included.
Ercan Tunç, Orhan Özdemir
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Oscillation criteria for a class of half-linear neutral conformable differential equations
Journal of Mathematics and Computer Science, 2022 S. S. Santra +3 more
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Oscillation of solutions to third-order half-linear neutral differential equations
Electronic Journal of Differential Equations, 2012 Summary: We study the oscillation of solutions to the third order neutral differential equations \[ \left(a(t)([x(t)\pm p(t)x(\delta(t))]'')^\alpha\right)' + q(t)x^\alpha(\tau(t))=0. \] Sufficient conditions are established so that every solution is either oscillatory or converges to zero.
Jozef Dzurina +2 more
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Oscillation of solutions to second-order half-linear differential equations with neutral terms
Electronic Journal of Differential Equations, 2013 Summary: We are concerned with the oscillation of the second-order neutral differential equation \[ (r(t)|z'(t)|^{\alpha-1} z'(t))'+ q(t)|x(\sigma(t))|^{\alpha-1} x(\sigma(t))= 0, \] where \(z(t):= x(t)+ \sum^m_{i=1} p_i(t) x(\tau_i(t))\), and (H1) \(m> 1\) is an integer, \(q\in C[t_0,\infty)\), \(r,p_i,\tau_i,\sigma\in C^1[t_0, \infty)\); (H2 ...
ZHANG, Chenghui +2 more
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Oscillatory Behavior of Second-Order Half-Linear Neutral Differential Equations with Damping
Advances in Dynamical Systems and Applications, 2019 Adil Kaymaz, Ercan Tunc
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Oscillation Criteria for a Class of Certain Half-linear Emden-Fowler Functional Differential Equations of Neutral Type [PDF]
Proceedings of the 3rd Annual International Conference on Advanced Material Engineering (AME 2017), 2017 Lian-Zhong Li, Ying Tang
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Oscillation of Second Order Nonlinear Neutral Differential Equations
Mathematics, 2022 The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering.
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao
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New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
Mathematics, 2021 In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
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