Lipschitz condition
Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non Lipschitz condition
... The outline of this manuscript is as follows. In Sect. 2, we provide some background about stochastic integral with respect to fBm. Section 3 is devoted to establishing the stochastic periodic averaging approach to Eq. ...
15
Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition
... global Lipschitz condition, the non-Lipschitz condition is a much weaker suffi- cient condition with a wider range of ...this condition was inves- tigated by many scholars to study ...
24
Bias reduction in kernel density estimation via Lipschitz condition
... Abstract. In this paper we propose a new nonparametric kernel based estimator for a density function f which achieves bias reduction relative to the classical Rosenblatt-Parzen estimator. Contrary to some exist- ing ...
23
Almost sure exponential stability in the numerical simulation of stochastic differential equations
... global Lipschitz condition, we first show that the SDE is pth moment exponentially stable (for p ∈ (0, 1)) if and only if the stochastic theta method is pth moment exponentially stable for a sufficiently small ...
20
A Harmonic Equations and the Dirac Operator
... This component is the scalar real part of the Dirac system, under appropriate identifications. Hence any real-valued solution to the Dirac system is an A-harmonic function. As such, the class of A-harmonic functions ...
9
Regularity theory on A harmonic system and A Dirac system
... In order to prove the main result, we also need a suitable Caccioppoli estimation (see Theorem .). Then by the technique of removable singularities, we can find that solutions to an A-harmonic system satisfying a ...
14
Titchmarsh's Theorem for the Cherednik-Opdam Transform in the Space L2
... In this paper, we prove the generalization of Titchmarshs theorem for the Cherednik- Opdam transform for functions satisfying the ( ψ, 2)-Cherednik-Opdam Lipschitz condition in the space[r] ...
6
Convergence criteria of Newton’s method on Lie groups
... L-average Lipschitz condition (introduced in []) to Riemannian manifolds and established a unified convergence criterion of Newton’s method on Riemannian ...a Lipschitz-type radial function for the ...
15
Existence of A New Class of Impulsive Riemann-Liouville Fractional Partial Neutral Functional Differential Equations with Infinite Delay
... the Lipschitz condition, Debbouche and Baleanu [21] proved the con- trollability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential ...
13
Modified semi-linear uniform spaces and new types of contractions
... Abstract. In 2009 Tallafha, A. and Khalil, R. defined a new type of uniform space namely, semi-linear uniform space [8]. Later Tallafha, A. in [9], [10] and [11], Alhihi, S. in [1] and Tallafha, A. and Alhihi, S. in ...
12
More Properties of Semi Linear Uniform Spaces
... In [10], Tallafha gave an example of a space which was the semi-linear uniform space, but not metrizable. Till now, to define a function f that satisfies Lipschitz condition, or to be a contraction, it ...
7
Stability criteria on delay dependent robust stability for uncertain neutral stochastic nonlinear systems with time delay
... one-sided Lipschitz condition was developed in ...this condition can make positive contributions to the stability of systems, we can easily solve the observer design problem for nonlinear systems ...
19
On the p th moment estimates for the solution of stochastic differential equations
... The basic existence and uniqueness theorem based on the Picard method of iterations requires the global or, in a weakened version, Lipschitz condition and linear growth con- dition for f and g (see [–]). ...
9
The Discrete Agglomeration Model: Equivalent Problems
... a Lipschitz condi- tion on the right hand side to obtain local existence and local ...a Lipschitz condition to prove uniqueness in the continuous context by giving equivalent problems in scalar and ...
17
Fixed Point Theorems in Intuitionistic Fuzzy Graph Metric Space
... a Lipschitz condition with Lipschitz constant d if ...this condition is satisfied with a Lipschitz constant d such that 0 ≤ d < 1 , then c is called contraction ...
9
Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
... local Lipschitz condition and nonlinear growth condition; In Section 3, by applying the Itô formula and stochastic inequality, we study the almost sure stability with general decay rate for NSPEwMSs ...
17
An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)
... Titchmarsh’s theorem characterizes the set of functions satisfying the Cauchy- Lipschitz condition by means of an asymptotic estimate growth of the norm of their Fourier transform, namel[r] ...
7
Strong approximation for Itô stochastic differential equations
... satisfying Lipschitz condition for the drift and diffusion cofficients SDE, a method will have strong global convergence of order one if it has strong local order one and mean local order one (see ...
13
Numerical stationary distribution and its convergence for nonlinear stochastic differential equations
... growth condition on the drift coefficient is replaced by the one-sided Lipschitz condition and the stationary distribution of many more SDEs can be approximated by the numer- ical stationary ...
28
Generalization of Dunkl Dini Lipschitz Functions
... Dini Lipschitz condition by means of an asymptotic estimate growth of the norm of their Fourier transforms, namely we have.. Theorem 1.[r] ...
8