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
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Oscillatory behavior of a fifth-order differential equation with unbounded neutral coefficients [PDF]
, 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
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"Necessary and sufficient conditions for oscillation of second-order differential equation with several delays" [PDF]
, 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
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On oscillatory second order nonlinear impulsive systems of neutral type [PDF]
, 2020 In this work, the necessary and sufficient conditions for oscillation of a class of second order neutral impulsive systems are established and our impulse satisfies a discrete neutral nonlinear equation of similar type.
TRIPATHY, Arun Kumar +1 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
wiley +1 more source
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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Oscillation criteria for third-order semi-canonical differential equations with unbounded neutral coefficients [PDF]
In this paper, we investigate the oscillatory behavior of solutions to a class of third-order differential equations of the form Lz(t) + f (t)yβ (σ(t)) = 0, where Lz(t) = (p(t)(q(t)zt(t))t)t is a semi-canonical operator and z(t) = y(t) + g(t)y(τ (t ...
THANDAPANI, Ethiraju +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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Averaging method in optimal control problems for integro-differential equations
Open MathematicsThe averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter.
Lakhva Roksolana +3 more
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