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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Oscillations of Third Order Half Linear Neutral Differential Equations
مجلة بغداد للعلوم, 2015 In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+
Baghdad Science Journal
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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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Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations.
Petr Hasil, Michal Veselý
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Oscillation of second-order half-linear difference equations
Applied Mathematics Letters, 2000 The authors obtain some new oscillation criteria for a second-order half-linear difference equation. The techniques based on Riccati type difference inequality are developed and examples, which illustrate the applications of the results, are also included.
Ethiraju Thandapani, K. Ravi
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Lyapunov-type inequalities for higher-order half-linear difference equations
Journal of Inequalities and Applications, 2020 In this paper, we will establish some new Lyapunov-type inequalities for some higher-order superlinear–sublinear difference equations with boundary conditions.
Haidong Liu
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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order
, 2023 In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include ...
Elmetwally M. Elabbasy +3 more
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An oscillation criterion for nonhomogeneous half-linear differential equations
Applied Mathematics Letters, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan-Tong Li, Sui-Sun Cheng
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Modified Riccati technique for half-linear differential equations with delay
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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