Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions
Advances in Difference Equations, 2021 In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the ...
Ali Muhib +2 more
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Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays
Fractal and Fractional, 2022 The higher-order delay differential equations are used in the describing of many natural phenomena. This work investigates the asymptotic properties of the class of even-order differential equations with several delays.
Osama Moaaz, Wedad Albalawi
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Oscillation criteria for even order nonlinear neutral differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form $$ \left(r(t)z^{(n-1)}(t)\right)'+q(t)f(x(\sigma(t)))=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)),$ $n\geq2$ is a even integer.
Yibing Sun +3 more
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Improved criteria for oscillation of noncanonical neutral differential equations of even order
Advances in Difference Equations, 2021 In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are concerned only with neutral equations in the ...
Elmetwally M. Elabbasy +3 more
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Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria
Fractal and Fractional, 2022 The main objective of our paper is to investigate the oscillatory properties of solutions of differential equations of neutral type and in the noncanonical case. We follow an approach that simplifies and extends the related previous results.
Osama Moaaz +3 more
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Extrapolation methods for first order ordinary differential equations [PDF]
, 1980 Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
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On the Asymptotic Behavior of Advanced Differential Equations with a Non-Canonical Operator
Applied Sciences, 2020 In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example ...
Omar Bazighifan, Ioannis Dassios
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Oscillation Theorems for Advanced Differential Equations with p-Laplacian Like Operators
Mathematics, 2020 The main objective of this paper is to establish new oscillation results of solutions to a class of even-order advanced differential equations with a p-Laplacian like operator.
Omar Bazighifan, Poom Kumam
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Linearized Oscillation Results for Even-Order Neutral Differential Equations [PDF]
Czechoslovak Mathematical Journal, 2001 The paper deals with the even order nonlinear neutral equation \((1)\) \((x(t)-P(t)g(x(t-\tau )))^{(n)}-Q(t)h(x(t-\sigma ))=0,\) with \(P,Q\in C([t_0,\infty ),\mathbb R),\) \(g,h\in C (\mathbb R,\mathbb R),\) \(\tau >0,\) \(\sigma \geq 0\) and \(t_0\in \mathbb R.\) In particular, linearized oscillation results for \((1)\) are obtained also in the cases
Shen, J. H., Yu, J. S.
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