Results 41 to 50 of about 8,616 (247)
Algebraic Reflexivity of Non-Canonical Isometries on Lipschitz Spaces
Mathematics, 2021 Let Lip([0,1]) be the Banach space of all Lipschitz complex-valued functions f on [0,1], equipped with one of the norms: fσ=|f(0)|+f′L∞ or fm=max|f(0)|,f′L∞, where ·L∞ denotes the essential supremum norm. It is known that the surjective linear isometries
Antonio Jiménez-Vargas +1 more
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Characterizing the path-independence of the Girsanov transformation for non-Lipschitz SDEs with jumps [PDF]
, 2016 In the paper, by virtue of the Girsanov transformation, we derive a link of a class of (timeinhomogeneous)non-Lipschitz stochastic differential equations (SDEs) with jumps to aclass of semi-linear partial integro-differential equations (PIDEs) of ...
Jiang-lun Wu
core +1 more source
Observers for a non-Lipschitz triangular form [PDF]
Automatica, 2017 We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some H{ }lder-like condition.
Bernard, Pauline +2 more
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A dichotomy of sets via typical differentiability
Forum of Mathematics, Sigma, 2020 We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
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Analysis and Geometry in Metric Spaces, 2014 We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman David M.
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On the reduced-set pareto-lipschitzian optimization
Computational Science and Techniques, 2013 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
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Impulsive stochastic fractional differential equations driven by fractional Brownian motion
Advances in Difference Equations, 2020 In this research, we study the existence and uniqueness results for a new class of stochastic fractional differential equations with impulses driven by a standard Brownian motion and an independent fractional Brownian motion with Hurst index 1 ...
Mahmoud Abouagwa, Feifei Cheng, Ji Li
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Generalized solutions to a non-Lipschitz Goursat problem [PDF]
Differential Equations & Applications, 2009 In this paper we investigate solutions to the semi-linear wave equation in canonical form with non Lipschitz non-linearity and distributions or other generalized functions as data. To give a meaning to the Goursat problem with irregular data, we replace it by a biparametric family of problems.
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Advanced Intelligent Systems, EarlyView.This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley +1 more source
Approximate solutions for a class of doubly perturbed stochastic differential equations
Advances in Difference Equations, 2018 In this paper, we study the Carathéodory approximate solution for a class of doubly perturbed stochastic differential equations (DPSDEs). Based on the Carathéodory approximation procedure, we prove that DPSDEs have a unique solution and show that the ...
Wei Mao, Liangjian Hu, Xuerong Mao
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