Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Polynomial differential systems with explicit expression for limit cycles
Authors: Mouna Yahiaoui, Rachid Boukoucha
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Abstract
In this paper we give an explicit expression of invariant algebraic curves of a multi-parameter planar polynomial differential systems of degree nine, then we prove that these systems are integrable and we introduce an explicit expression of a first integral. Moreover, we determine sufficient conditions for these systems to possess two limit cycles: one of them is algebraic and the other one is shown to be non-algebraic, explicitly given. Concrete examples exhibiting the applicability of our result are introduced.Lab. de Mathèmatiques Appliquèes, Universitè de Bejaia,
06000 Bejaia, Algèrie
E-mail: ,
06000 Bejaia, Algèrie
E-mail: ,
Fulltext
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Contents
- A note on existence results for a nonlinear fourth-order integral boundary value problem
- Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable coefficients
- Statistical Λ-Convergence in Intuitionistic Fuzzy Normed Spaces
- Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions
- Binary linear programming approach to graph convex covering problems
- Optimal control of a stochastic system related to the Kermack-McKendrick model
- Polynomial differential systems with explicit expression for limit cycles
- On the structural theory and theory of radicals
