A New Class of (ω, c) -Periodic Non-instantaneous Impulsive Differential Equations

Kui Liu; Jin Rong Wang; Donal O’Regan; Michal Fečkan

doi:10.1007/s00009-020-01574-8

A New Class of (ω, c) -Periodic Non-instantaneous Impulsive Differential Equations

Kui Liu
, Jin Rong Wang
, Donal O’Regan
, Michal Fečkan

Mathematics

Guizhou University
Qufu Normal University
Comenius University in Bratislava
Slovak Academy of Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

25 Citations (Scopus)

Abstract

In this paper, we study a new class of (ω, c) -periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of (ω, c) -periodic solutions for nonlinear impulsive problem via fixed point theorems. Examples are given to illustrate our theoretical results.

Original language	English
Article number	155
Journal	Mediterranean Journal of Mathematics
Volume	17
Issue number	5
DOIs	https://doi.org/10.1007/s00009-020-01574-8
Publication status	Published - 1 Oct 2020

Keywords

(ω, c) -periodic solutions
Non-instantaneous impulsive differential equations
adjoint equations

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10.1007/s00009-020-01574-8

Cite this

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title = "A New Class of (ω, c) -Periodic Non-instantaneous Impulsive Differential Equations",

abstract = "In this paper, we study a new class of (ω, c) -periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of (ω, c) -periodic solutions for nonlinear impulsive problem via fixed point theorems. Examples are given to illustrate our theoretical results.",

keywords = "(ω, c) -periodic solutions, Non-instantaneous impulsive differential equations, adjoint equations",

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AU - Liu, Kui

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AU - O’Regan, Donal

AU - Fečkan, Michal

PY - 2020/10/1

Y1 - 2020/10/1

N2 - In this paper, we study a new class of (ω, c) -periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of (ω, c) -periodic solutions for nonlinear impulsive problem via fixed point theorems. Examples are given to illustrate our theoretical results.

AB - In this paper, we study a new class of (ω, c) -periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of (ω, c) -periodic solutions for nonlinear impulsive problem via fixed point theorems. Examples are given to illustrate our theoretical results.

KW - (ω, c) -periodic solutions

KW - Non-instantaneous impulsive differential equations

KW - adjoint equations

UR - https://www.scopus.com/pages/publications/85089601394

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DO - 10.1007/s00009-020-01574-8

M3 - Article

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VL - 17

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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ER -

A New Class of (ω, c) -Periodic Non-instantaneous Impulsive Differential Equations

Abstract

Keywords

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