Results 1 to 10 of about 104,422 (284)
A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
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Communications in Advanced Mathematical Sciences, 2021 We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
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Modified logistic differential equation of neutral type with time delay
Lietuvos Matematikos Rinkinys, 2003 The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
Donatas Švitra
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Oscillation of nonlinear neutral delay differential Equations [PDF]
Journal of Applied Mathematics and Computing, 2006 Sufficient conditions for the oscillation of the first-order nonlinear neutral delay differential equation \[ [x(t)-q(t)x(t-\sigma)]'+f(t,x(\tau(t)))=0 \] are given. The results obtained improve and extend some known results. One example is given to illustrate the results.
Elabbasy, Elmetwally M. +2 more
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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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Differential equations of the neutral delay type: More efficient conditions for oscillation
AIMS Mathematics, 2023 In this article, we derive an optimized relationship between the solution and its corresponding function for second- and fourth-order neutral differential equations (NDE) in the canonical case.
Osama Moaaz, Wedad Albalawi
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Axioms, 2023 In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and ...
Osama Moaaz, Abtehal E. Alhgilan
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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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Oscillatory Solutions to Neutral Delay Differential Equations [PDF]
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0. The obtained results extend, and simplify known conditions in the literature. The results are illustrated with examples.
Fahad Alsharari +4 more
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