Results 11 to 20 of about 194,161 (166)

New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations

Mathematics, 2021
In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
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STABILITY OF HALF-LINEAR NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYS

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
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Oscillation Criteria for a Class of Certain Half-linear Emden-Fowler Functional Differential Equations of Neutral Type [PDF]

Proceedings of the 3rd Annual International Conference on Advanced Material Engineering (AME 2017), 2017
Some oscillation criteria for the half-linear Emden-Fowler functional differential equations of neutral type of the form                     1 1 0 , r t z t z t q t x t x t e t t t             are established, where    
Lian-Zhong Li, Ying Tang
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Oscillation results for second order half-linear neutral delay differential equations with "maxima"

Tamkang Journal of Mathematics, 2017
In this paper, we present some oscillation criteria for the second order half-linear neutral delay differential equation with ``maxima" of the from\begin{equation*}\left(r(t)((x(t)+p(t)x(\tau(t)))')^{\alpha}\right)'+q(t) \max_{[\sigma(t),\;t]}x^{\alpha}(s)=0\end{equation*}under the condition $\int_{t_0}^{\infty}\frac{1}{r^{1/ \alpha}(t)}dt<\infty ...
Selvarangam Srinivasan, Rani Bose, Ethiraju Thandapani   +2 more
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Oscillatory properties of fourth-order neutral differential equations using new monotonic properties

Miskolc Mathematical Notes
The authors investigate the asymptotic behavior of solutions of the fourth-order half-linear neutral differential equation (α(t) ((μ(t)+d(t)μ(a(t)))‴)b)′+m(t)μb(δ(t))=0(e)α′(t ...
Kannan Suresh, Ganesh Purushothaman, John R. Graef, Ethiraju Thandapani   +3 more
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A study on the oscillation of second-order neutral differential equations in noncanonical form

Electronic Journal of Qualitative Theory of Differential Equations
This paper analyzes the oscillation of the second-order neutral differential equation in noncanonical form \[ \left[r(t)\left(\left(x(t)+p(t)x(\pi(t))\right)^{\prime}\right)^{\alpha}\right]^{\prime} + k(t)x^{\beta}(\eta(t))=0.
Ercan Tunç
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On the oscillation of second-order half-linear functional differential equations with mixed neutral term [PDF]

Journal of Taibah University for Science, 2019
In this article, the authors establish new sufficient conditions for the oscillation of solutions to a class of second-order half-linear functional differential equations with mixed neutral term. The results obtained improve and complement some known results in the relevant literature. Examples illustrating the results are included.
Ercan Tunç, Orhan Özdemir
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Oscillation of Second Order Nonlinear Neutral Differential Equations

Mathematics, 2022
The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering.
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao
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New Oscillation Criteria for Second Order Half-Linear Neutral Type Dynamic Equations on Time Scales

Journal of Applied Mathematics and Physics, 2021
In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales.
F. S. AL-dheleai, E. Elabbasy
semanticscholar   +1 more source

Sharp results for oscillation of second-order neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2023
The aim of the present paper is to continue earlier works by the authors on the oscillation problem of second-order half-linear neutral delay differential equations.
Martin Bohner, Said Grace, Irena Jadlovská   +2 more
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