On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments [PDF]
Journal of Inequalities and Applications, 2007 For the differential system , , , where , , , we get necessary and sufficient conditions that this system does not have solutions satisfying the condition for .
Koplatadze Roman, Domoshnitsky Alexander
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On Kneser Solutions of Nonlinear Third Order Differential Equations
Journal of Mathematical Analysis and Applications, 2001 The paper concerns the third-order differential equation \(y'''(t)+q(t)y'(t)+f(y(t))=0\) on \([0,+\infty)\). Existence and asymptotic behaviour of Kneser solutions \(y\) are investigated, which are either positive, decreasing, and convex, or negative, increasing, and concave on some \([t_y,+\infty)\).
M. Bartušek, M. Cecchi, M. Marini
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On Kneser solutions of higher order nonlinear ordinary differential equations
Arkiv för Matematik, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Kozlov
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On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations [PDF]
Mathematica Bohemica, 1998 Summary: The paper deals with the existence of Kneser solutions to \(n\)th-order nonlinear differential equations with quasiderivatives.
O. Palumbíny
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Kneser Solutions of Higher-Order Quasilinear Ordinary Differential Equations
Funkcialaj Ekvacioj, 2020 Manabu Naito, H. Usami
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New oscillation constraints for even-order delay differential equations [PDF]
Opuscula 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
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Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order
Applied 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
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New oscillation theorems for a class of even-order neutral delay differential equations
Advances 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
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Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
Mathematics, 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
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Axioms, 2023 The purpose of this research is to investigate the asymptotic and oscillatory characteristics of odd-order neutral differential equation solutions with multiple delays.
Fahd Masood +3 more
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