Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation [PDF]
Abstract and Applied Analysis, 2012 We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
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New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
Mathematics, 2020 The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation.
K. S. Vidhyaa +2 more
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Oscillation criteria for perturbed half-linear differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsOscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
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Oscillation of Half-Linear Differential Equations with Delay [PDF]
Abstract and Applied Analysis, 2013 We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
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Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients [PDF]
International Journal of Differential Equations, 2017 We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.
Adil Misir, Banu Mermerkaya
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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
International Journal of Differential Equations, 2022 This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha +2 more
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A linearization method in oscillation theory of half-linear second-order differential equations [PDF]
Journal of Inequalities and Applications, 2005 Using inequalities for a certain function appearing in the half-linear version of Picone's identity, we show that oscillatory properties of the half-linear second-order differential equation , , can be investigated via oscillatory properties of a ...
Došlý Ondřej +1 more
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A remark on power comparison theorem for half-linear differential equations [PDF]
, 2005 summary:We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation.
Došlý, Ondřej +3 more
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Solutions of Riemann–Weber type half-linear differential equation [PDF]
, 2010 summary:We establish an asymptotic formula for a pair of linearly independent solutions of the subcritical Riemann–Weber type half-linear differential equation. We also complement the results of the author and M. Ünal, Acta Math. Hungar.
Došlý, Ondřej +2 more
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De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation [PDF]
, 2005 summary:We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation.
Došlý, Ondřej +2 more
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