Results 1 to 10 of about 94 (93)
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
doaj +2 more sources
Open Mathematics, 2023 In this article, we prove the existence of eigenvalues for the problem (ϕp(u′(t)))′+λh(t)ϕp(u(t))=0,t∈(0,1),Au(0)−A′u′(0)=0,Bu(1)+B′u′(1)=0\left\{\begin{array}{l}\left({\phi }_{p}\left(u^{\prime} \left(t)))^{\prime} +\lambda h\left(t){\phi }_{p}\left(u ...
Wei Liping, Su Shunchang
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
core +1 more source
Asymptotic proximity to higher order nonlinear differential equations
Advances in Nonlinear Analysis, 2022 The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations.
Astashova Irina +3 more
doaj +1 more source
On certain comparison theorems for half‐linear dynamic equations on time scales
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 551-565, 2004., 2004 We obtain comparison theorems for the second‐order half‐linear dynamic equation [r(t)Φ(yΔ)]Δ+p(t)Φ(yσ)=0, where Φ(x) = |x|α−1sgn x with α > 1. In particular, it is shown that the nonoscillation of the previous dynamic equation is preserved if we multiply the coefficient p(t) by a suitable function q(t) and lower the exponent α in the nonlinearity Φ ...
Pavel Řehák
wiley +1 more source
, 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
core +1 more source