Results 21 to 30 of about 7,656,330 (292)
Fourier transforms of Dini-Lipschitz functions
International Journal of Mathematics and Mathematical Sciences, 1986 It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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The Problem Of Lipschitz Condition
, 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
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ITM Web of Conferences, 2018 The classical Lipschitz extension problem in concerned for conditions on a pair of metric spaces (X,dX) and (Y,dY) such that for all Ω ⊂ X and for all Lipschitz function and for all Lipschitz function f : Ω → Y, then there is a function g : X → Y that ...
Viet Phan Thanh
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Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay
Fractal and Fractional, 2021 In this manuscript, a new class of impulsive fractional Caputo neutral stochastic differential equations with variable delay (IFNSDEs, in short) perturbed by fractional Brownain motion (fBm) and Poisson jumps was studied.
Mahmoud Abouagwa +4 more
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Conditional Lipschitz Shadowing for Ordinary Differential Equations
Journal of Dynamics and Differential Equations, 2023 AbstractWe introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish two types of sufficient conditions under which certain nonautonomous ordinary differential equations have such a property.
Lucas Backes +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications
Mathematics, 2023 For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions.
Yingying Wang, Zhinan Xia
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Lipschitz conditions and lacunarity [PDF]
Journal 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 ...
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The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property
Open Mathematics, 2022 In this paper, we introduce the concepts of GG-Lipschitz tracking property and GG-asymptotic tracking property in metric GG-space and obtain the equivalent conditions of GG-asymptotic tracking property in metric GG-space.
Ji Zhanjiang
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A convergence analysis of an iterative algorithm of order \(1.839\ldots\) under weak assumptions
Journal of Numerical Analysis and Approximation Theory, 2003 We provide new and weaker sufficient local and semilocal conditions for the convergence of a certain iterative method of order 1.839\(\ldots\) to a solution of an equation in a Banach space.
Ioannis K. Argyros
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