Results 1 to 10 of about 6,725,901 (296)
Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 This paper is concerned with the oscillatory behavior of the fourth-order nonlinear differential equation $$ \bigl(p(t)|x^{\prime\prime}|^{\alpha-1}\,x^{\prime\prime}\bigr)^{\prime\prime} +q(t)|x|^{\beta-1}x=0\,,\tag{E} $$ where $\alpha>0$, $\beta>0$ are
Jelena Manojlović, J. Milosevic
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Nonoscillation of higher order half-linear differential equations [PDF]
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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Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order
Mathematics, 2023 In this paper, we find new oscillation criteria for second-order advanced functional half-linear differential equations. Our results extend and improve recent criteria for the same equations established previously by several authors and cover the ...
Taher S. Hassan +2 more
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Perturbed generalized half-linear Riemann–Weber equation – further oscillation results [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2 t ...
Simona Fišnarová, Zuzana Pátíková
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Oscillation result for half-linear delay difference equations of second-order
Mathematical Biosciences and Engineering, 2022 In this paper, we obtain the new single-condition criteria for the oscillation of second-order half-linear delay difference equation. Even in the linear case, the sharp result is new and, to our knowledge, improves all previous results.
Chinnasamy Jayakumar +6 more
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Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations [PDF]
Abstract and Applied Analysis, 2011 We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1. We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0 is ...
Ondřej Došlý, Simona Fišnarová
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Half-linear discrete oscillation theory
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Oscillatory properties of the second order half-linear difference equation $$\Delta(r_k|\Delta y_k|^{\alpha-2}\Delta y_k)+p_k|y_{k+1}|^{\alpha-2}y_{k+1}=0,$$ where $\alpha>1$, are investigated.
Pavel Řehák
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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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Modified Riccati technique for half-linear differential equations with delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
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Bargmann-Type Inequality for Half-Linear Differential Operators
Journal of Inequalities and Applications, 2009 We consider the perturbed half-linear Euler differential equation , , , with the subcritical coefficient . We establish a Bargmann-type necessary condition for the existence of a nontrivial solution of this equation with at least zero points in .
Došlý Ondřej +1 more
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