Stability analysis for $ (\omega, c) $-periodic non-instantaneous impulsive differential equations | Zendy

Kui Liu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability analysis for $ (\omega, c) $-periodic non-instantaneous impulsive differential equations

Author(s) -

Kui Liu

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

ISSN - 2473-6988

DOI - 10.3934/math.2022101

Subject(s) - exponential stability , mathematics , omega , mathematical analysis , exponential function , nonlinear system , differential equation , stability (learning theory) , cauchy distribution , correctness , physics , computer science , algorithm , quantum mechanics , machine learning

In this paper, the stability of $ (\omega, c) $-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some sufficient conditions for exponential stability are obtained. Further, by using Gronwall inequality, sufficient conditions for exponential stability of $ (\omega, c) $-periodic solutions of nonlinear noninstantaneous impulsive problems are established. Finally, some examples are given to illustrate the correctness of the conclusion.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research