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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Oscillation criteria for fourth order half-linear differential equations [PDF]
Archivum Mathematicum, 2020 In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroš, Jaroslav +2 more
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ON CONNECTED HALF-LINEAR DIFFERENTIAL EQUATIONS
Demonstratio Mathematica, 1999 Summary: Relations among several classes of half-linear differential equations with or without delays are established. By means of these connections, the existence of eventually positive solutions can be inferred from the properties of either one of these families of equations.
Zhang, Guang, Cheng, Sui Sun
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Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II [PDF]
, 2021 summary:We consider the half-linear differential equation of the form \[ (p(t)|x^{\prime }|^{\alpha }\mathrm{sgn}\,x^{\prime })^{\prime } + q(t)|x|^{\alpha }\mathrm{sgn}\,x = 0\,, \quad t \ge t_{0} \,, \] under the assumption that $p(t)^{-1/\alpha }$ is ...
Naito, Manabu
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Nonoscillation of higher order half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
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Half-linear differential equations with oscillating coefficient
Differential and Integral Equations, 2005 n ...
M. CECCHI, Z. DOSLA, MARINI, MAURO
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A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, 2023 AbstractWe study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
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Conjugacy and principal solution of generalized half-linear second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
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De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation [PDF]
, 2014 summary:We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation.
Došlý, Ondřej, Báňa, Libor
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On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
Neutrosophic Sets and SystemsThe generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
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