Results 31 to 40 of about 37,785 (206)

Generalized Gronwall fractional summation inequalities and their applications [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Run, Zhang, Ying
openaire   +2 more sources

Finite-time stability of linear stochastic fractional-order systems with time delay

open access: yesAdvances in Difference Equations, 2021
This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\alpha \in (\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time
Lassaad Mchiri   +3 more
doaj   +1 more source

Lebesgue-p Norm Convergence Analysis of PDα-Type Iterative Learning Control for Fractional-Order Nonlinear Systems

open access: yesDiscrete Dynamics in Nature and Society, 2018
The first-order and second-order PDα-type iterative learning control (ILC) schemes are considered for a class of Caputo-type fractional-order nonlinear systems.
Lei Li
doaj   +1 more source

Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system [PDF]

open access: yes, 2011
We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential.
Colli, Pierluigi   +3 more
core   +3 more sources

A Linear Generalization of Gronwall's Inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
where k(t, s) and w0(t) are known non-negative functions and u(t) is an unknown non-negative function. For examples, one can refer to Bellman [l, pp. 35 ff.], Coddington and Levinson [2, pp. 37 ff.], Willett [3], and others. In order to obtain from (1.1) a genuine upper bound for u(t), i.e., an upper bound independent of u, it seems necessary to ...
openaire   +1 more source

A generalized retarded Gronwall-like inequalities

open access: yesApplied Mathematical Sciences, 2013
In this paper, we establish a generalized retarded integral inequality of Gronwall-like type. The results we obtained can be used as handy tools in discussing the behavior of differential equations and ...
Gao Qingling, Qiu Zhonghua
openaire   +1 more source

On Some Vector-Valued Inequalities of Gronwall Type

open access: yesAbstract and Applied Analysis, 2014
In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real-valued Gronwall-type inequalities.
Dah-Chin Luor
doaj   +1 more source

On the stability of first order impulsive evolution equations [PDF]

open access: yesOpuscula Mathematica, 2014
In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised.
JinRong Wang, Michal Fečkan, Yong Zhou
doaj   +1 more source

Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems [PDF]

open access: yes, 2013
A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation.
Frigeri, Sergio   +2 more
core   +2 more sources

Generalized Gronwall-Bellman-type discrete inequalities and their applications [PDF]

open access: yesJournal of Inequalities and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
openaire   +3 more sources

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