Results 61 to 70 of about 68,998,005 (164)

On exponential stability of functional differential equations with variable impulse perturbations

open access: yes, 2014
We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov ...
Bonotto, E. M.   +2 more
core   +1 more source

On abstract differential equations with non instantaneous impulses [PDF]

open access: yes, 2015
We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature.
O'Regan, Donal   +2 more
core  

Stability of impulsive functional differential equations via the Liapunov functional

open access: yesApplied Mathematics Letters, 2009
AbstractIn this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way.
Zhiguo Luo, Jianhua Shen
openaire   +1 more source

On retarded differential equations with impulses

open access: yes, 2014
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Processo FAPESP: 97/11323-0We are concerned with the effect of impulses in retarded functional differential equations.
Quiroga, Maria Elisa, Taboas, Placido Z.
core  

Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses

open access: yes, 2017
In this paper, we shall present some uniqueness and Ulam’s type stability concepts for the Darboux problem of partial functional differential equations with not instantaneous impulses and state-dependent delay in Banach spaces.
Saïd Abbas, Mouffak Benchohra
core   +1 more source

Comparison results for functional differential equations with impulses

open access: yesMathematica Slovaca, 2013
Abstract Comparison principles play an important role in the qualitative and quantitative study of differential equations. In this paper, we investigate a first order functional differential equations with impulses and establish new comparison results.
openaire   +1 more source

Interval oscillation criteria for second-order forced delay differential equations under impulse effects

open access: yes, 2013
We establish some oscillation criteria for a forced second-order differential equation with impulses. These results extend some well-known results for forced second-order impulsive differential equations with ...
Cheung, WS   +3 more
core  

Existence results for fractional order functional differential equations with impulse

open access: yesComputers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Oscillations of second-order nonlinear ordinary differential equations with impulses

open access: yes, 1999
This paper deals with the oscillations of second-order nonlinear ordinary differential equations with impulses. Our results generalize and improve the recent results of Y. S. Chen and W. Z. Feng (J. Math. Anal. Appl.210 (1997), 150–169)
Luo, Jiaowan, Debnath, Lokenath
core   +1 more source

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]

open access: yes, 2011
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
core  

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