Results 1 to 10 of about 215,355 (212)

Generalized discrete Riccati equation and oscillation of half-linear difference equations

open access: yesMathematical and Computer Modelling, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavel Rehak
exaly   +3 more sources

Perturbations of the half-linear Euler–Weber type differential equation

open access: yesJournal of Mathematical Analysis and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ondřej Došlý
exaly   +3 more sources

Summation inequalities and half-linear difference equations

open access: yesJournal of Mathematical Analysis and Applications, 2005
The aim of this paper is to present new summation inequalities and to shaw that the half-linear difference equation ... exhibits not only similarities but also some discrepancies with the linear case, especially as regards the possible coexistence of the so-called extremal solutions. Some of our results are new also for the linear difference equation.
Zuzana Došlá   +2 more
exaly   +6 more sources

Oscillation of Half-Linear Differential Equations with Delay [PDF]

open access: yesAbstract 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 an ordinary half-linear differential equation.
Simona Fišnarová, Robert Mařík
openaire   +4 more sources

Asymptotic properties for half-linear difference equations [PDF]

open access: yesMathematica Bohemica, 2006
Summary: Asymptotic properties of the half-linear difference equation \[ \Delta (a_{n}| \Delta x_{n}| ^{\alpha }\text{sgn}\, \Delta x_{n} )=b_{n}| x_{n+1}| ^{\alpha }\text{sgn}\, x_{n+1} \tag{\(*\)} \] are investigated by means of some summation criteria.
M. CECCHI   +3 more
openaire   +3 more sources

On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2011
We study the half‐linear differential equation (r(t)Φ(x′)) ′ + c(t)Φ(x) = 0, where Φ(x) = |x|p−2x, p > 1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille‐Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a ...
Simona Fišnarová, Robert Mařík
openaire   +3 more sources

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

Two‐Parametric Conditionally Oscillatory Half‐Linear Differential Equations [PDF]

open access: yesAbstract 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 , such that the equation is conditionally oscillatory, that is, there exists a constant γ such that the previous equation is oscillatory if μ − λ > γ and nonoscillatory ...
Došlý, Ondřej, Fišnarová, Simona
openaire   +3 more sources

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