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Stability in distribution for uncertain delay differential equations based on new Lipschitz condition. [PDF]
J Ambient Intell Humaniz Comput, 2022 Stability in distribution for uncertain delay differential equations based on the strong Lipschitz condition only involving the current state has been successfully investigated.
Gao Y, Jia L.
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A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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A lower lipschitz condition for the stable subordinator [PDF]
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971 lim sup _ 1 ~ o oz ...
J. Hawkes
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Beyond Uniform Lipschitz Condition in Differentially Private Optimization [PDF]
International Conference on Machine Learning, 2022 Most prior results on differentially private stochastic gradient descent (DP-SGD) are derived under the simplistic assumption of uniform Lipschitzness, i.e., the per-sample gradients are uniformly bounded.
Rudrajit Das +4 more
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Lipschitz Conditions in Damek–Ricci Spaces [PDF]
Comptes Rendus. Mathématique, 2021 In this paper we extend classical Titchmarsh theorems on the Fourier–Helgason transform of Lipschitz functions to the setting of L p -space on Damek–Ricci spaces. As consequences, quantitative Riemann–Lebesgue estimates are obtained and an integrability result for the Fourier–Helgason transform is developed extending ideas used by Titchmarsh in the one
El Ouadih, Salah, Daher, Radouan
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On the existence and uniquness theorem of the global solutions for UFDES [PDF]
Journal of Mahani Mathematical Research, 2022 The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and ...
Samira Siya Mansouri +2 more
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Fixed-Point Theorems Involving Lipschitz in the Small
Abstract and Applied Analysis, 2023 Lipschitz in the small is a generalization of the Lipschitz condition. The Lipschitz condition guarantees the uniqueness of the solution of the initial value problems. A special Lipschitz condition in the small is a contraction in the small. Based on the
Christiana Rini Indrati
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One Sided Lipschitz Evolution Inclusions in Banach Spaces
Mathematics, 2021 Using the notion of limit solution, we study multivalued perturbations of m-dissipative differential inclusions with nonlocal initial conditions. These solutions enable us to work in general Banach spaces, in particular L1.
Ali N. A. Koam +4 more
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Symmetric Fuzzy Stochastic Differential Equations with Generalized Global Lipschitz Condition
Symmetry, 2020 The paper contains a discussion on solutions to symmetric type of fuzzy stochastic differential equations. The symmetric equations under study have drift and diffusion terms symmetrically on both sides of equations. We claim that such symmetric equations
M. T. Malinowski
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Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems
IET Control Theory & Applications, 2021 This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and ...
Wenqiang Dong, Guang‐Da Hu, Yuhao Cong
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