Nonoscillatory Solutions for System of Neutral Dynamic Equations on Time Scales [PDF]
We will discuss nonoscillatory solutions to the n-dimensional functional system of neutral type dynamic equations on time scales. We will establish some sufficient conditions for nonoscillatory solutions with the property limt→∞xit=0, i=1, 2, …,n.
Zhanhe Chen +3 more
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On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument [PDF]
The half-linear difference equations with the deviating argument Δ(an|Δxn|αsgn Δxn)+bn|xn+q|αsgn xn+q=0 , q ∈ ℤ are considered.
M. Marini +2 more
doaj +7 more sources
Existence of Nonoscillatory Solutions of Higher-Order Neutral Differential Equations with Distributed Coefficients and Delays [PDF]
We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use the Banach contraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.
Youjun Liu, Huanhuan Zhao, Jurang Yan
doaj +2 more sources
Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients [PDF]
In this paper we consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients and delays.
Youjun Liu, Huanhuan Zhao, Jurang Yan
doaj +2 more sources
Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations [PDF]
In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Martin Bohner +2 more
doaj +4 more sources
On a class of fourth-order nonlinear difference equations
We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F−-solutions.
Migda Małgorzata +2 more
doaj +2 more sources
Oscillatory solutions of Emden-Fowler type differential equation
The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 more
doaj +1 more source
Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems
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 +1 more
doaj +1 more source
First Order Nonlinear Neutral Delay Differential Equations
The author obtain results on the asymptotic behavior of the nonoscillatory solutions of first order nonlinear neutral differential equations. Keywords. Neutral differential equations, Oscillatory and Nonoscillatory solutions.
Baghdad Science Journal
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Monotonic properties of Kneser solutions of second order linear differential equations with delayed argument [PDF]
In this paper new monotonic properties of nonoscillatory solutions for second order linear functional differential equations with delayed argument \[y{''}(t)=p(t)y(\tau(t))\] have been established.
Blanka Baculíková
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