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Pinning Synchronization of One-Sided Lipschitz Complex Networks
Discrete 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
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Lipschitz conditions and the distance ratio metric [PDF]
Filomat, 2015 We give a study of the Lipschitz continuity of M?bius transformations of a punctured ball onto another punctured ball in Rn with respect to the distance ratio metric. Some subtle methods are developed, helping to determine the best possible j-Lip constant in this case.
Simic, S, Vuorinen, M
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On the Lipschitz's condition for Brownian motion. [PDF]
Journal of the Mathematical Society of Japan, 1959 Eine monotone stetige Funktion \(g(t)\) in einer Umgebung der Null heißt Oberfunktion für die stetige Funktion \(f(A)\) im Punkte \(A_0\), falls \(|f(A)-f(A_0)| \leq g(|A-A_0|)\) für genügend kleines \(|A-A_0|\). Bekannt ist die Präzisierung des Gesetzes vom iterierten Logarithmus: \(\sqrt t \cdot \psi (1/t)\) ist Oberfunktion für fast alle Brownschen ...
L. CHUNG, K., ERDOS, P., SIRAO, T.
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A generalized Picard-Lindelöf theorem
Electronic 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
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Journal 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
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Optimality conditions for non-Lipschitz vector problems with inclusion constraints
Tạp 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
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ORDINARY DERIVATIVES VIA SYMMETRIC DERIVATIVES AND A LIPSCHITZ CONDITION VIA A SYMMETRIC LIPSCHITZ CONDITION [PDF]
Real Analysis Exchange, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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, 2019 This paper presents the periodic averaging principle for impulsive stochastic dynamical systems driven by fractional Brownian motion (fBm). Under non-Lipschitz condition, we prove that the solutions to impulsive stochastic differential equations (ISDEs ...
A. Khalaf +2 more
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Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Journal of Inequalities and Applications, 2018 Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
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