Results 1 to 10 of about 50 (48)
Oscillation of higher-order quasi-linear neutral differential equations [PDF]
Advances in Difference Equations, 2011 In this note, we establish some oscillation criteria for certain higher-order quasi-linear neutral differential equation. These criteria improve those results in the literature. Some examples are given to illustrate the importance of our results.
Xing Guojing +2 more
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Oscillation criterion for first-order linear differential equations with several delay arguments
Arab Journal of Mathematical Sciences, 2019 By using iterated estimates involving all delay arguments, we establish an oscillation criterion for first-order linear differential equations with several delay arguments.
Hongwu Wu, Julio G. Dix
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Delay differential equation of fourth-order: Asymptotic analysis and oscillatory behavior
Alexandria Engineering Journal, 2022 The objective of this work is to offer sufficient conditions for the oscillation of all solutions of fourth-order delay differential equations with non-canonical operator.
Osama Moaaz +3 more
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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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On the monotonic properties and oscillatory behavior of solutions of neutral differential equations
Demonstratio Mathematica, 2023 In this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times.
Masood Fahd +4 more
doaj +1 more source
Oscillatory behavior of a fifth-order differential equation with unbounded neutral coefficients
, 2023 The authors study the oscillatory behavior of solutions to a class of fifth-order differential equations with unbounded neutral coefficients. The results are obtained by a comparison with first-order delay differential equations whose oscillatory ...
ÖZDEMIR, Osman +3 more
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, 2023 In this paper, necessary and sufficient conditions are establish of the solutions to second-order delay differential equations of the form We consider two cases when fi(u)/uβ is non-increasing for β < γ, and non- decreasing for β > γ where β and γ ...
Shyam Sundar Santra +1 more
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Oscillation properties of nonlinear neutral differential equations of nth order
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 71, Page 3893-3900, 2004., 2004 We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.
T. Candan, R. S. Dahiya
wiley +1 more source
On oscillatory second order nonlinear impulsive systems of neutral type
, 2020 In this work, the necessary and sufficient conditions for oscillation of a class of second order neutral impulsive systems are established and our impulse satisfies a discrete neutral nonlinear equation of similar type.
TRIPATHY, Arun Kumar +1 more
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Oscillation for advanced differential equations with oscillating coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2109-2118, 2003., 2003 Some sufficient conditions are established for the oscillation of all solutions of the advanced differential equation x′(t) − p(t)x(t + τ) = 0, t ≥ t0, where the coefficient p(t) ∈ C([t0, ∞), R) is oscillatory, and τ is a positive constant.
Xianyi Li, Deming Zhu, Hanqing Wang
wiley +1 more source