Results 1 to 10 of about 2,863,059 (142)

Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory

open access: yesApplied Sciences, 2021
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions.
Osama Moaaz   +3 more
doaj   +4 more sources

Third-Order Noncanonical Neutral Delay Differential Equations: Nonexistence of Kneser Solutions via Myshkis Type Criteria

open access: yesMathematics
The purpose of this paper is to add some new asymptotic and oscillatory results for third-order neutral delay differential equations with noncanonical operators.
Gunasekaran Nithyakala   +3 more
doaj   +4 more sources

Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order

open access: yesApplied Sciences, 2020
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions.
Osama Moaaz   +3 more
doaj   +2 more sources

New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order

open access: yesMathematics, 2020
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
Osama Moaaz, Dumitru Baleanu, Ali Muhib
doaj   +3 more sources

Investigation of the Oscillatory Properties of Solutions of Differential Equations Using Kneser-Type Criteria

open access: yesAxioms, 2023
This study investigates the oscillatory properties of a fourth-order delay functional differential equation. This study’s methodology is built around two key tenets.
Yousef Alnafisah, Osama Moaaz
doaj   +3 more sources

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

Singular Kneser solutions of higher-order quasilinear ordinary differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper we give a new sufficient condition in order that all nontrivial Kneser solutions of the quasilinear ordinary differential equation \[ D(\alpha_n, \alpha_{n-1}, \dots, \alpha_1)x = (-1)^{n}p(t)|x|^{\beta}\mathrm{sgn}\,x, \quad t \geq a, \tag{
Manabu Naito
doaj   +1 more source

Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions

open access: yesAdvances in Difference Equations, 2021
In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the ...
Ali Muhib   +2 more
doaj   +1 more source

New oscillation theorems for a class of even-order neutral delay differential equations

open access: yesAdvances in Difference Equations, 2021
In this work, we study the oscillatory behavior of even-order neutral delay differential equations υ n ( l ) + b ( l ) u ( η ( l ) ) = 0 $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ , where l ≥ l 0 $l\geq l_{0}$ , n ≥ 4 $n\geq 4$ is an even integer and υ = u + a
Mona Anis, Osama Moaaz
doaj   +1 more source

Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

open access: yesMathematics, 2020
By establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory.
Osama Moaaz, Jan Awrejcewicz, Ali Muhib
doaj   +1 more source

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