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( ω , c ) $(\omega ,c)$ -Periodic solutions for time varying impulsive differential equations

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TLDR
In this article, the authors studied a class of periodic time varying impulsive differential equations and established the existence and uniqueness results for these equations for homogeneous and non-homogeneous problems.
Abstract
In this paper, we study a class of $(\omega ,c)$ -periodic time varying impulsive differential equations and establish the existence and uniqueness results for $(\omega ,c)$ -periodic solutions of homogeneous problem as well as nonhomogeneous problem.

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

TL;DR: In this paper, a new class of non-instantaneous impulsive Cauchy matrices is studied and the existence and uniqueness of periodic solutions for nonlinear impulsive problems via fixed point theorems are established.
Journal ArticleDOI

Almost periodic functions and their applications: A survey of results and perspectives

TL;DR: Ministry of Science and Technology of the Republic of China, China, the authors, 2019MOST1092115-M-017-002-M1-021-002
Journal ArticleDOI

(ω,c)-Periodic Mild Solutions to Non-Autonomous Abstract Differential Equations

TL;DR: In this article, the authors investigated semi-linear, non-autonomous, first-order abstract differential equation x ∈ R and obtained results on existence and uniqueness of ( ω, c ) -periodic (second-kind periodic) mild solutions, assuming that A satisfies the so-called Acquistapace-Terreni conditions and the homogeneous associated problem has an integrable dichotomy.
Journal ArticleDOI

(ω ,c)-periodic solutions for time-varying non-instantaneous impulsive differential systems

TL;DR: In this article, the authors studied (ω,c)-periodic solutions for time-varying non-instantaneous impulsive differential equations, and they showed that the Cauchy matrix of the time-changing linear nonsmooth impulsive system is c.
Journal ArticleDOI

Existence of $$(N,\lambda )$$ ( N , λ ) -Periodic Solutions for Abstract

TL;DR: In this article , the authors established sufficient conditions for the existence and uniqueness of periodic solutions for the following abstract model: (n, λ)-periodic solutions for a closed linear operator defined in a Banach space X, where λ denotes the fractional difference operator in the Weyl-like sense.
References
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Journal ArticleDOI

Sur les équations différentielles linéaires à coefficients périodiques

TL;DR: In this paper, Gauthier-Villars implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).
Book

Impulsive Differential Equations: Periodic Solutions and Applications

TL;DR: In this article, a systematic exposition of the results solving all of the more important problems in this field is presented, including the most important problems of the last 10-20 years.
Book

Impulsive Differential Equations: Asymptotic Properties of the Solutions

TL;DR: When you read more every page of this impulse differential equations asymptotic properties of the solutions, what you will obtain is something great.
Journal ArticleDOI

An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment

TL;DR: An EOQ (Economic Order Quantity) model is developed for a deteriorating item having time dependent demand when delay in payment is permissible and justification for considering a time quadratic demand and permissible delay in Payment are discussed.
Journal ArticleDOI

Stability of noninstantaneous impulsive evolution equations

TL;DR: In this paper, a notation of non-instantaneous impulsive evolution operator was introduced to guarantee asymptotic stability of linear and semilinear Cauchy problems.
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