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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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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Essential self-adjointness of symmetric linear relations associated to first order systems [PDF]
, 2000 The purpose of this note is to present several criteria for essential self-adjointness. The method is based on ideas due to Shubin. This note is divided into two parts.
Lesch, Matthias
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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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Asymptotic Behavior of Solutions of Even-Order Advanced Differential Equations [PDF]
Mathematical Problems in Engineering, 2020 In this paper, we establish the qualitative behavior of the even-order advanced differential equationaυyκ−1υβ′+∑i=1jqiυgyηiυ=0, υ≥υ0. The results obtained are based on the Riccati transformation and the theory of comparison with first- and second-order equations.
Omar Bazighifan, Hijaz Ahmad
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Oscillation of even order delay differential equations
Journal of Mathematical Analysis and Applications, 1987 The authors found some oscillation criteria fpr the even order functional differential equations: \[ x^{(n)}(t)+q(t)f(x(t),x(g_ 1(t)),...,x(g_ m(t)))=0 \] and \[ x^{(n)}(t)+p(t)x^{(n- 1)}(t)+q(t)f(x(g_ 1(t)),...,x(g_ m(t)))=0. \]
Zhang, B.G, Ladde, G.S
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Galerkin Method in the Gravitational Collapse: a Dynamical System Approach [PDF]
, 2002 We study the general dynamics of the spherically symmetric gravitational collapse of a massless scalar field. We apply the Galerkin projection method to transform a system of partial differential equations into a set of ordinary differential equations ...
A.M. Abrahams +17 more
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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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On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order
Mathematics, 2023 In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include ...
Ghada AlNemer +3 more
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