Results 11 to 20 of about 30,923 (209)

Some new generalized retarded inequalities for discontinuous functions and their applications

Journal of Inequalities and Applications, 2016
In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential equations and impulsive integral equations.
Zhaowen Zheng, Xin Gao, Jing Shao
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The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

Advances in Difference Equations, 2020
In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q ∈ ( 1 , 2 ] $q \in (1,2]$ ).
Xian-Min Zhang
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Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

Axioms, 2023
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
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Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Estimates of solutions of impulsive parabolic equations and applications to the population dynamics [PDF]

, 1996
A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved.
Bainov, D., Minchev, Emil
core   +2 more sources

Results on the Behavior of the Solutions for Linear Impulsive Neutral Delay Differential Equations with Constant Coefficients

Communications in Advanced Mathematical Sciences, 2021
We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
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Impulsive functional‐differential equations with nonlocalconditions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça, Abdelkader Boucherif, Valéry Covachev   +2 more
openaire   +3 more sources

Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds

Fractal and Fractional, 2019
In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case ...
Gani Stamov, Anatoliy Martynyuk, Ivanka Stamova   +2 more
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Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer

Journal of Hebei University of Science and Technology, 2023
In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO, Fanmeng MENG, Kun CHEN, Weihua JIANG   +3 more
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Stability Analysis for a Class of Stochastic Differential Equations with Impulses

Mathematics, 2023
This paper is concerned with the problem of asymptotic stability for a class of stochastic differential equations with impulsive effects. A sufficient criterion on asymptotic stability is derived for such impulsive stochastic differential equations via ...
Mingli Xia, Linna Liu, Jianyin Fang, Yicheng Zhang   +3 more
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