Results 21 to 30 of about 45,401 (204)
Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order
, 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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On the oscillation of neutral differential equations
Journal of Mathematical Analysis and Applications, 1992 Using the method of the Laplace transform it is shown that all solutions of the neutral differential equation \[ {d\over dt}\left[x(t)+\delta\int^{\tau_ 2}_{\tau_ 1}x(t+s)d\mu(s)\right]+\int^{\sigma_ 2}_ {\sigma_ 1}x(t+s)d\eta(s)=0 \] are oscillatory if and only if the characteristic equation \[ \lambda\left[1+\delta\int^{\tau_ 2}_{\tau_ 1}e^{\lambda s}
Philos, C. G., Sficas, Y. G.
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More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations [PDF]
, 2021 In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator.
Moaaz, Osama +7 more
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Periodic solutions of neutral functional differential equations
, 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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A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets
Complexity, 2022 An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions ...
Mutaz Mohammad, Alexander Trounev
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First Order Nonlinear Neutral Delay Differential Equations
مجلة بغداد للعلوم, 2004 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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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria
, 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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General Solution of Linear Fractional Neutral Differential Difference Equations
Discrete Dynamics in Nature and Society, 2013 This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference ...
Hai Zhang, Jinde Cao, Wei Jiang
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
Complexity, 2020 In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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