Periodic solutions of convex neutral functional differential equations [PDF]
Tohoku Mathematical Journal, 2000 In this paper, the authors study the existence of periodic solutions to neutral differential equations. It is proved that for convex neutral functional-differential equations of \(D\)-operator type with finite (or infinite) delay and hyperneutral functional-differential equations with finite delay the problem of the existence of periodic solutions is ...
Fan, Meng, Wang, Ke
openaire +3 more sources
Oscillation of solutions for odd-order neutral functional differential equations [PDF]
Electronic Journal of Differential Equations, 2010 In this article, we establish oscillation criteria for all solutions to the neutral differential equations $$ [x(t)pm ax(tpm h)pm bx(tpm g)]^{(n)} =pint_c^d x(t-xi)dxi+qint_c^d x(t+xi)dxi, $$ where $n$ is odd, $h$, $g$, $a$ and $b$ are nonnegative
Tuncay Candan
doaj +2 more sources
Periodic solutions of neutral functional differential equations [PDF]
, 2023 We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R.
Afonso, S. M. [UNESP] +2 more
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Oscillatory Solutions to Neutral Delay Differential Equations [PDF]
, 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.
Khaled Mohamed Khedher +4 more
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Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order [PDF]
, 2023 In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order ...
Maryam Al-Kandari
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Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients [PDF]
, 2022 In this article, we deal with some new existence results for positive periodic solutions for a class of neutral functional differential equations by employing Krasnoselskii’s fixed-point theorem and the properties of a neutral operator. Our results
Lingping Zhang, Bo Du
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria [PDF]
, 2023 This paper aims to study a class of neutral differential equations of higher-order in canonical form. By using the comparison technique, we obtain sufficient conditions to ensure that the studied differential equations are oscillatory.
Abdulaziz Khalid Alsharidi +2 more
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]
, 2008 The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui +7 more
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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