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Qualitative Study of a Class of Quartic Differential System with an Unstable Node

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI), 2021
In this paper, we introduce a class of quartic differential system from the integrability and the existence of limit cycle. We show that this class is integrable and we give the explicit expression of first integral.
R. Allaoua, R. Cheurfa, A. Bendjeddou
semanticscholar   +1 more source

Existence and uniqueness of periodic solutions to certain third-order non-autonomous neutral functional differential equation

Nonlinear Analysis and Differential Equations, 2021
In this paper, we use Mawhin’s continuous theorem to discuss the sufficient conditions for the existence and uniqueness of an w-periodic solution for a kind of third-order neutral functional differential equation of the form d3 dt3 (x(t)−d(t)x(t−δ))+a(t ...
A. S. Motlaq, E. Elsayed
semanticscholar   +1 more source

Existence of positive solutions to impulsive nonlinear differential systems of second order with two point boundary conditions

Studia Universitatis Babeş-Bolyai. Mathematica
. In this paper the authors consider the existence of positive solutions to a two point boundary value problem for nonlinear second-order impulsive systems.
H. Kadari   +3 more
semanticscholar   +1 more source

A Criterion for the Unique Existence of the Limit Cycle of a Lienard-Type System with One Parameter

, 2019
A criterion for the unique existence of limit cycles of a Liénard-type system with one parameter is investigated. Our idea is to estimate the solution orbit starting from the initial point on some invariant domain.
M. Hayashi
semanticscholar   +1 more source

On the limit cycles for Lienard equation

, 2015
Osuna Osvaldo   +3 more
semanticscholar   +1 more source

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