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
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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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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
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
On an even order neutral differential inequality
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 257-265, 2003., 2003 In this paper, we prove new results related to the nonexistence criteria for eventually positive solutions of certain even order neutral differential inequality with distributed deviating arguments.
Peiguang Wang, Lokenath Debnath
wiley +1 more source
Nonautonomous differential equations of alternately retarded and advanced type
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 10, Page 597-603, 2001., 2001 We obtain a solution formula of the differential equation x˙(t)+a(t)x(t)+b(t)x(g(t))=f(t). At the same time, we study its oscillation and asymptotic stability properties.
Qiong Meng, Jurang Yan
wiley +1 more source
Oscillation of first order linear differential equations with several non-monotone delays
Open Mathematics, 2018 Consider the first-order linear differential equation with several retarded ...
Attia E.R. +3 more
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The fourth order strongly noncanonical operators
Open Mathematics, 2018 It is shown that the strongly noncanonical fourth order ...
Baculikova Blanka, Dzurina Jozef
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