Results 11 to 20 of about 57 (54)
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
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Nonoscillation, Asymptotic Properties and Stability of Second Order Delay Differential Equations [PDF]
, 2018 2010 Mathematics Subject Classification: 34K11, 34K20 ...
Domoshnitsky, Alexander
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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
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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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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the oscillatory behavior of first‐order linear differential and difference equations with several delays. The main objective is to determine whether classical liminf‐type oscillation conditions for single‐delay equations can be extended to the several‐delay setting and to develop sharp oscillation criteria for this more general ...
Emad R. Attia +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research investigates the oscillatory behavior of a class of second‐order nonlinear advanced differential equations with a damping term. Sufficient conditions for the oscillation of all solutions were obtained using the Riccati transform and comparison techniques with first‐order advanced differential inequalities. The new results are more general
Azza M. Algatheem +3 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper investigates the existence of oscillatory behavior of solutions for the following second‐order delay differential equation rtΨx′t′+ptΨx′t+∑i=1mGit,xgit=qt,t≥t0. By using the Schauder–Tychonoff fixed‐point theorem and Ascoli–Arzelà theorem, sufficient conditions for the existence of oscillatory solutions are derived.
Ahmed Maher +3 more
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Slowly oscillating solutions of a Van der Pol oscillator with state-dependent delay
Open MathematicsIn this paper, we consider a Van der Pol oscillator with state-dependent delay. First, we seek a suitable set E on which we construct a Poincaré operator F. Then, we prove that the operator F is continuous and compact on E \ {0}.
Hou Aiyu, Liu Shunlian, Luo Chaoliang
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Demonstratio MathematicaThis work presents a study of the oscillatory behavior of solutions to a general class of neutral differential equations of second order. Our study considers the noncanonical case and constructs oscillation criteria using several approaches, including ...
Albalawi Wedad +2 more
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