Results 1 to 10 of about 451 (136)

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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Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems

International Journal of Differential Equations, 2023
In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to ...
Ahmed Abdulhasan Naeif, Hussain Ali Mohamad   +1 more
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Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign

Electronic Journal of Differential Equations, 2020
In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation $$ \Delta^{2}\big(y_n-p_n L(y_{n-s})\big) + q_nG(y_{n-k})=0, $$ and all unbounded solutions of the neutral difference equation $$ \Delta^{2}
Ajit Kumar Bhuyan, Laxmi Narayan Padhy, Radhanath Rath   +2 more
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Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales

Mathematics, 2022
In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory ...
Ya-Ru Zhu, Zhong-Xuan Mao, Jing-Feng Tian, Ya-Gang Zhang, Xin-Ni Lin   +4 more
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Nonoscillatory solutions of the four-dimensional difference system

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We study asymptotic properties of nonoscillatory solutions for a four-dimensional system \[\begin{aligned} \Delta x_{n}&= C_{n}\, y_{n}^{\frac{1}{\gamma}} \\ \Delta y_{n}&= B_{n}\, z_{n}^{\frac{1}{\beta}} \\ \Delta z_{n}&= A_{n}\, w_{n}^{\frac{1}{\alpha}}
Zuzana Dosla, J. Krejčová
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Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations [PDF]

Opuscula Mathematica, 2023
We consider the half-linear differential equation \[(|x'|^{\alpha}\mathrm{sgn}\,x')' + q(t)|x|^{\alpha}\mathrm{sgn}\,x = 0, \quad t \geq t_{0},\] under the condition \[\lim_{t\to\infty}t^{\alpha}\int_{t}^{\infty}q(s)ds = \frac{\alpha^{\alpha}}{(\alpha+1)^
Manabu Naito
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A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations [PDF]

Mathematica Bohemica
The half-linear differential equation (|u'|^{\alpha}{\rm sgn} u')' = \alpha(\lambda^{\alpha+ 1} + b(t))|u|^{\alpha}{\rm sgn} u, \quad t \geq t_0, is considered, where $\alpha$ and $\lambda$ are positive constants and $b(t)$ is a real-valued ...
Manabu Naito
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Improved iterative oscillation tests for first-order deviating differential equations [PDF]

Opuscula Mathematica, 2018
In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
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Bounded nonoscillatory solutions of neutral type difference systems

Electronic Journal of Qualitative Theory of Differential Equations, 2009
This paper deals with the existence of a bounded nonoscillatory solution of nonlinear neutral type difference systems. Examples are provided to illustrate the main results.
Ethiraju Thandapani, R. Karunakaran, I. M. Arockiasamy   +2 more
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Oscillation of the per capita growth rate

مجلة بغداد للعلوم, 2005
in this paper cquations of the per capita growth rate are considered sufficient conditions for oscillation of all solutions are obtained the asymptotie behavior of the nonoscillatory solution of all souliotions are ...
Baghdad Science Journal
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