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Oscillation of Half-linear Neutral Delay Differential Equations
2020In this article, by using the generalized Riccati transformation and the integral average skill, a class of half-linear neutral delay differential equations are researched. A new oscillation criteria are obtained, which generalize and improve the results of some literatures.
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On the half-linear second order differential equations
Acta Mathematica Hungarica, 1987\textit{I. Bihari} [Publ. Math. Inst. Hungar. Acad. Sci. 2, 159-172 (1958; Zbl 0089.068)] defined the half-linear second order differential equation (1) \((p(t)x')'+q(t)f(x,p(t)x')=0\) for the unknown function \(x=x(t)\) where the functions p(t), q(t) are continuous on some interval \(I=[a,b)\) \((- \infty 0\) if \(x\neq 0\) (consequently \(f(0,y)=0 ...
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Interval oscillation of second-order half-linear functional differential equations
Applied Mathematics and Computation, 2004By employing an inequality due to Hardy, Littlewood and Polya and averaging techniques, new interval oscillation criteria are established for the second-order half-linear functional-differential equation \[ \Big[r(t)| y'(t)| ^{\alpha-1} y'(t)\Big]'+q(t)| y(\tau(t))| ^{\alpha-1}y(\tau(t))=0. \] The presented results show that the term \(\tau(t)=t\pm\tau\
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Oscillation of linear and half-linear difference equations via modified Riccati transformation
Journal of Mathematical Analysis and Applications, 2023Jiřina Šišoláková
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Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients
Mathematical Methods in the Applied Sciences, 2021Jiřina Šišoláková
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New results for oscillatory behavior of even-order half-linear delay differential equations
Applied Mathematics Letters, 2013Chenghui Zhang +2 more
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