Oscillation Criteria for Qusilinear Even-Order Differential Equations
Mathematics, 2023 In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout +4 more
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Oscillation of Even-Order Neutral Delay Differential Equations [PDF]
Advances in Difference Equations, 2010 By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and .
Zhao Ping +3 more
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New oscillation constraints for even-order delay differential equations [PDF]
Opuscula Mathematica, 2023 The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions.
Osama Moaaz +3 more
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Oscillation of even order linear functional differential equations with mixed deviating arguments [PDF]
Opuscula Mathematica, 2022 In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e.
Blanka Baculikova
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Some Oscillation Results for Even-Order Differential Equations with Neutral Term
Fractal and Fractional, 2021 The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for ...
Maryam Al-Kandari, Omar Bazighifan
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Asymptotic behavior of even-order noncanonical neutral differential equations
Demonstratio Mathematica, 2022 In this article, we study the asymptotic behavior of even-order neutral delay differential equation (a⋅(u+ρ⋅u∘τ)(n−1))′(ℓ)+h(ℓ)u(g(ℓ))=0,ℓ≥ℓ0,{(a\cdot {(u+\rho \cdot u\circ \tau )}^{(n-1)})}^{^{\prime} }(\ell )+h(\ell )u(g(\ell ))=0,\hspace{1.0em}\ell ...
Moaaz Osama +4 more
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
Mathematics, 2020 We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1 are real numbers, n∈N, Φ(s)=sp−1sgns for s∈R, p∈(1,∞) and fn−l is a regularly varying (
Vojtěch Růžička
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Asymptotic Properties of Neutral Differential Equations with Variable Coefficients
Axioms, 2020 The aim of this work is to study oscillatory behavior of solutions for even-order neutral nonlinear differential equations. By using the Riccati substitution, a new oscillation conditions is obtained which insures that all solutions to the studied ...
Omar Bazighifan +2 more
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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
International Journal of Differential Equations, 2022 This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha +2 more
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Properties of even order linear functional differential equations with deviating arguments of mixed type [PDF]
Opuscula Mathematica, 2022 This paper is concerned with oscillatory behavior of linear functional differential equations of the type \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of \((0 ...
Jozef Dzurina
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