Results 31 to 40 of about 268,617 (332)

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation [PDF]

open access: gold, 2021
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
openalex   +3 more sources

Oscillation criterion for Euler type half‐linear difference equations [PDF]

open access: bronzeMathematical Methods in the Applied Sciences, 2023
We consider general classes of Euler type linear and half‐linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non‐oscillation criterion.
Petr Hasil, Michal Veselý
openalex   +3 more sources

On oscillation of half-linear functional-differential equations with deviating arguments

open access: diamondHiroshima Mathematical Journal, 1994
This paper is devoted to the study of the oscillatory behavior of semilinear functional differential equations of the type \[ \biggl( \bigl |x'(t) \bigr |^\alpha \text{sign} x'(t) \biggr)' = \sum^n_{i = 1} p_i (t) \biggl |x \bigl( g_i(t) \bigr) \biggr |^\alpha \text{sgn} x \bigl( g_i(t) \bigr), \tag{A} \] where \(\alpha > 0\), \(p_i : [0, \infty) \to ...
Takaŝi Kusano, B. S. Lalli
openalex   +4 more sources

Nonoscillatory half-linear difference equations and recessive solutions

open access: yesAdvances in Difference Equations, 2005
Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ...
Došlá Zuzana   +2 more
doaj   +2 more sources

A Survey on Oscillation of Impulsive Ordinary Differential Equations

open access: yesAdvances in Difference Equations, 2010
This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several oscillation criteria are given. The Sturmian comparison theory
Fatma Karakoç   +2 more
doaj   +2 more sources

Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations

open access: yesElectronic 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
doaj   +1 more source

Nonoscillation of half-linear dynamic equations

open access: yesComputers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Matucci, Pavel Rehák
openaire   +4 more sources

ON CONNECTED HALF-LINEAR DIFFERENTIAL EQUATIONS

open access: yesDemonstratio 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
openaire   +1 more source

Half-linear differential equations with oscillating coefficient

open access: yesDifferential and Integral Equations, 2005
n ...
M. CECCHI, Z. DOSLA, MARINI, MAURO
openaire   +3 more sources

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