On the Asymptotic Stability Behaviours of Solutions of Non-linear Diﬀerential Equations with Multiple Variable Advanced Arguments

Biçer, Emel; Tunç, Cemil

doi:10.5890/jand.2019.06.007

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2021

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of advanced differential equations began in the middle of the last century by Myschkis [10] and Bellman & Cooke [1], this type of equations has been studied considerably by many authors see for example [3,4,9,13,14,15]. However the advanced systems of differential equations has not been studied before, for this reason, in this paper we have studied the asymptotic behaviors of linear advanced systems of differential equations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Asymptotic behaviors of linear advanced systems of differential equations

Mesmouli

2020

Preprint

View full text Add to dashboard Cite

In this paper, we use the fundamental matrix solution of the system y ′ (t) = D (t) y (t), and the technique of the fixed point theorem to obtain sufficient conditions satisfying the convergence and exponential convergence of solutions for the linear system of advanced differential equations. The considered system with multiple variable advanced arguments is discussed as well. The obtained theorems generalize previous results of Dung [8], from the one dimension to the n dimension.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Definition 2. The state transition matrix for the homogeneous linear system (3) on the open interval J is the family of fundamental matrix solutions t → Φ (t, r) parametrized by r ∈ J such that Φ (r, r) = I.…”

Section: Introductionmentioning

confidence: 99%