Results 11 to 20 of about 11,948 (261)
Oscillation of Third‐Order Neutral Delay Differential Equations [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to examine oscillatory properties of the third‐order neutral delay differential equation [a(t)(b(t)(x(t) + p(t)x(σ(t)))′)′]′ + q(t)x(τ(t)) = 0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature.
Li, Tongxing +2 more
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Neutral Delay Differential Equations: Oscillation Conditions for the Solutions [PDF]
Symmetry, 2021 The purpose of this article is to explore the asymptotic properties for a class of fourth-order neutral differential equations. Based on a comparison with the differential inequality of the first-order, we have provided new oscillation conditions for the solutions of fourth-order neutral differential equations.
Omar Bazighifan +2 more
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On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
E-Journal of Analysis and Applied MathematicsSome results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
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Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
Fractal and Fractional, 2023 In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the ...
Chandrabose Sindhu Varun Bose +4 more
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Approximation scheme of higher accuracy of differential equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 The properties of solution of initial problem for differential-dierence equation of neutral type were researched. An approximate estimate of element delay was specied by scheme ofhigher accuracy.
S. A. Pernay, I. M. Cherevko
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Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shifeng Wu, Siqing Gan
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Oscillation of neutral delay differential equations [PDF]
Bulletin of the Australian Mathematical Society, 1992 Consider the following neutral delay differential equationwhereP∈ ℝ,T∈ (0, ∞), σ ∈ (0, ∞) andQ∈C[(t0, ∞), [0, ∞)]. We obtain a sufficient condition for the oscillation of all solutions of Equation (*) withP= −1, which does not require thatBut, for the cases −1 <P< 0 andP< −1, we show that (**) is a necessary condition for the oscillation of ...
Jianshe Yu, Zhicheng Wang, Chuanxi Qian
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Oscillation of Impulsive Neutral Delay Differential Equations
Journal of Mathematical Analysis and Applications, 2002 Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R. +2 more
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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 2021 In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
Osama Moaaz +4 more
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Axioms, 2023 In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then ...
Amany Nabih +3 more
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