Results 41 to 50 of about 68,998,005 (164)

Measure functional differential equations and functional dynamic equations on time scales

, 2012
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations ...
Mesquita, Jaqueline Godoy, Slavik, Antonin, Federson, Márcia Cristina Anderson Braz, Márcia Federson, Jaqueline G. Mesquita, Antonín Slavík   +5 more
core   +1 more source

Lipschitz stability of impulsive functional-differential equations [PDF]

The ANZIAM Journal, 1999
AbstractAn initial value problem is considered for impulsive functional-differential equations. The impulses occur at fixed moments of time. Sufficient conditions are found for Lipschitz stability of the zero solution of these equations. An application in impulsive population dynamics is also discussed.
Bainov, D. D., Stamova, I. M.
openaire   +2 more sources

Razumikhin-type stability criteria for differential equations with delayed impulses [PDF]

, 2013
This paper studies stability problems of general impulsive differential equations where time delays occur in both differential and difference equations.
Quanxin Zhu, Zhu Quanxin, Zhu, Quanxin, Wang Qing, Wang, Qing, Qing Wang   +5 more
core   +2 more sources

The existence of solutions for impulsive neutral functional differential equations

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudio Cuevas, Eduardo Hernández Morales, Marcos N. Rabelo   +2 more
openaire   +2 more sources

Remark to transformations of linear differential and functional-differential equations [PDF]

, 1995
summary:For linear differential and functional-differential equations of the $n$-th order criteria of equivalence with respect to the pointwise transformation are ...
Tryhuk, Václav, Václav Tryhuk, Jan Čermák   +2 more
core   +2 more sources

Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation

International Journal of Differential Equations, 2019
In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
D. K. Igobi, U. Abasiekwere
doaj   +1 more source

Random Fuzzy Differential Equations with Impulses

, 2017
We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties
Ho Vu
core   +1 more source

Numerical solutions of neutral stochastic functional differential equations [PDF]

, 2008
This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke, Mao, Xuerong, Chinese Scholarship Council (Funder)   +2 more
core   +3 more sources

Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises

Mathematics
This paper examines fractional multi-time scale stochastic functional differential equations that, in addition, are driven by fractional noises. Based on a specially crafted fixed-point principle for the so-called “local operators”, we prove a Peano-type
Arcady Ponosov, Lev Idels
doaj   +1 more source

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdelkrim Salim, Saïd Abbas, Mouffak Benchohra, Abdellatif Benchaib   +3 more
core   +1 more source