Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations [PDF]
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
doaj +4 more sources
New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations [PDF]
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
doaj +4 more sources
Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations [PDF]
Mathematics, 2021 We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is
Zuzana Pátíková, Simona Fišnarová
doaj +5 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
doaj +4 more sources
Oscillation of Certain Second-Order Sub-Half-Linear Neutral Impulsive Differential Equations [PDF]
Discrete Dynamics in Nature and Society, 2011 By introducing auxiliary functions, we investigate the oscillation of a class of second-order sub-half-linear neutral impulsive differential equations of the form [r(t)ϕβ(z′(t))]′+p(t)ϕα(x(σ(t)))=0, t≠θk,Δϕβ(z′(t))|t=θk+qkϕα(x(σ(θk)))=0,Δx(t)|t=θk=0 ...
Yuangong Sun
doaj +4 more sources
Asymptotic Behavior Criteria for Solutions Second Order Half Linear Neutral Differential Equation [PDF]
Journal of Physics: Conference Series, 2021 Abstract In this paper the we study the oscillation and asymptotic behavior of second-order Half linear neutral differential equations. some basic and necessary and sufficient condition are established for every solution of (
Sattar Naser Ketab, Banen Wafaa Abdullah
openaire +2 more sources
Oscillations of Third Order Half Linear Neutral Differential Equations
Baghdad Science Journal, 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) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t_0, to be oscillatory.
Hussain A. Mohamad, Layla M. Shehab
+7 more sources
Oscillation of higher-order half-linear neutral differential equations [PDF]
Demonstratio Mathematica, 2013 Abstract In this paper, we establish some new oscillation criteria for the higher-order half-linear neutral differential equation [
Tang, Shuhong +2 more
openaire +3 more sources
Oscillation criteria for neutral second-order half-linear differential equations with applications to Euler type equations [PDF]
Boundary Value Problems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fišnarová, Simona, Mařík, Robert
openaire +4 more sources
STABILITY OF HALF-LINEAR NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractIn this paper, we study the mean square asymptotic stability of a generalized half-linear neutral stochastic differential equation with variable delays applying fixed point theory. An asymptotic mean square stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton, Zhang and
MENG WU, NAN-JING HUANG, CHANG-WEN ZHAO
openaire +2 more sources