Results 11 to 20 of about 224 (182)

Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation

open access: yesMathematics, 2021
In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0t((ut+a1tug0t)′)β)′+a2tuβg1t=0, where t≥t0, are established.
Awatif A. Hindi   +4 more
doaj   +1 more source

New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application

open access: yesMathematics, 2021
In this study, new asymptotic properties of positive solutions of the even-order delay differential equation with the noncanonical operator are established.
Osama Moaaz, Clemente Cesarano
doaj   +1 more source

Second-Order Dynamic Equations with Noncanonical Operator: Oscillatory Behavior

open access: yesFractal and Fractional, 2023
The present article aims to study the oscillatory properties of a class of second-order dynamic equations on time scales. We consider during this study the noncanonical case, which did not receive much attention compared to the canonical dynamic ...
Ahmed Mohamed Hassan   +2 more
doaj   +1 more source

New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order

open access: yesAxioms, 2023
In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then ...
Amany Nabih   +3 more
doaj   +1 more source

Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays

open access: yesFractal 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
doaj   +1 more source

Improved Properties of Positive Solutions of Higher Order Differential Equations and Their Applications in Oscillation Theory

open access: yesMathematics, 2023
In this article, we present new criteria for testing the oscillation of solutions of higher-order neutral delay differential equation. By deriving new monotonic properties of a class of the positive solutions of the studied equation, we establish better ...
Barakah Almarri, Osama Moaaz
doaj   +1 more source

New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations

open access: yesAxioms, 2021
In this work, new sufficient conditions for the oscillation of all solutions of the second-order neutral delay differential equations with the non-canonical operator are established.
Taher S. Hassan   +4 more
doaj   +1 more source

Simplified and improved criteria for oscillation of delay differential equations of fourth order

open access: yesAdvances in Difference Equations, 2021
An interesting point in studying the oscillatory behavior of solutions of delay differential equations is the abbreviation of the conditions that ensure the oscillation of all solutions, especially when studying the noncanonical case.
O. Moaaz   +4 more
doaj   +1 more source

Asymptotic behavior of even-order noncanonical neutral differential equations

open access: yesDemonstratio 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

New oscillation constraints for even-order delay differential equations [PDF]

open access: yesOpuscula 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
doaj   +1 more source

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