Results 21 to 30 of about 7,649 (300)

Pinning Synchronization of One-Sided Lipschitz Complex Networks

open access: yesDiscrete Dynamics in Nature and Society, 2014
This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition.
Fang Liu   +3 more
doaj   +1 more source

A generalized Picard-Lindelöf theorem

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We generalize the Picard-Lindelöf theorem on the unique solvability of initial value problems $\dot x=f(t,x)$, $x(t_0)=x_0$, by replacing the sufficient classical Lipschitz condition of $f$ with respect to $x$ with a more general Lipschitz condition ...
Stefan Siegmund   +2 more
doaj   +1 more source

The Problem Of Lipschitz Condition

open access: yes, 1993
In our paper we prove that the Smarandache function S does not verify the Lipschitz condition, giving an answer to a problem proposed in 2 and we investigate also tbe possibility that some other function, which involve the function S, verify or nor verify the Lipschitz condition.
Popescu, Marcela, Popescu, Paul
openaire   +3 more sources

Lipschitz conditions and lacunarity [PDF]

open access: yesJournal of the Australian Mathematical Society, 1973
We consider 2π-periodic functions on the limits and give simple and complete characterizations, in terms of Fourier coefficients, of functions which belong to various Lipschitz classes and whose Fourier series are lacunary. Such characterisations seem to be missing from the literature, though there are various wellknown partial characterisations valid ...
openaire   +1 more source

Numerical Solutions of Stochastic Differential Equations Driven by Poisson Random Measure with Non-Lipschitz Coefficients

open access: yesJournal of Applied Mathematics, 2012
The numerical methods in the current known literature require the stochastic differential equations (SDEs) driven by Poisson random measure satisfying the global Lipschitz condition and the linear growth condition.
Hui Yu, Minghui Song
doaj   +1 more source

Optimality conditions for non-Lipschitz vector problems with inclusion constraints

open access: yesTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2019
We use the concept of approximation introduced by D.T. Luc et al. [1] as a generalized derivative for non-Lipschitz vector functions to consider vector problems with non-Lipschitz data under inclusion constraints.
Phan Nhat Tinh
doaj   +1 more source

Strong convergence inertial projection algorithm with self-adaptive step size rule for pseudomonotone variational inequalities in Hilbert spaces

open access: yesDemonstratio Mathematica, 2021
In this paper, we introduce a new algorithm for solving pseudomonotone variational inequalities with a Lipschitz-type condition in a real Hilbert space.
Wairojjana Nopparat   +2 more
doaj   +1 more source

BSDEs with stochastic Lipschitz condition: A general result

open access: yesProbability, Uncertainty and Quantitative Risk, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xinying, Lai, Yuru, Fan, Shengjun
openaire   +2 more sources

Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]

open access: yes, 2007
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C.   +4 more
core   +1 more source

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