An Approach for Studying Asymptotic Properties of Solutions of Neutral Differential Equations
Symmetry, 2020 The paper is devoted to the study of oscillation of even-order neutral differential equations. New Kamenev-type oscillation criteria are established, and they essentially improve and complement some the well-known results reported in the literature ...
O. Bazighifan
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A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations
Mathematics, 2020 Based on the comparison with first-order delay equations, we establish a new oscillation criterion for a class of even-order neutral differential equations. Our new criterion improves a number of existing ones. An illustrative example is provided.
O. Moaaz, J. Awrejcewicz, O. Bazighifan
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Oscillation of second‐order neutral differential equations [PDF]
Mathematische Nachrichten, 2015 We study oscillatory behavior of a class of second‐order neutral differential equations under the assumptions that allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Illustrative examples are provided.
Li, Tongxing, Rogovchenko, Yuriy V.
openaire +4 more sources
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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Multipoint model order reduction of delayed PEEC systems [PDF]
, 2011 We present a new model order reduction technique for electrically large systems with delay elements, which can be modeled by means of neutral delayed differential equations.
Antonini, Giulio +5 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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A Philos-Type Oscillation Criteria for Fourth-Order Neutral Differential Equations
Symmetry, 2020 Some sufficient conditions are established for the oscillation of fourth order neutral differential equations of the form r t z ‴ t α ′ + q t x β σ t = 0 , where z t : = x t + p t x τ t .
O. Bazighifan, Clemente Cesarano
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Reduced order modeling of delayed PEEC circuits [PDF]
, 2011 We propose a novel model order reduction technique that is able to accurately reduce electrically large systems with delay elements, which can be described by means of neutral delayed differential equations.
Antonini, Giulio +5 more
core +3 more sources
New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
Mathematics, 2020 Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
O. Moaaz, D. Baleanu, A. Muhib
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