Results 11 to 20 of about 2,460,837 (296)

Qualitative Lipschitz to bi-Lipschitz decomposition

Analysis and Geometry in Metric Spaces
We prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
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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, Elham Pazoki, Samaneh Neyshabouri   +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, Tzanko Donchev, Alina I. Lazu, Muhammad Rafaqat, Ali Ahmad   +4 more
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Numerical solutions of neutral stochastic functional differential equations [PDF]

, 2008
This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke, Mao, Xuerong, Chinese Scholarship Council (Funder)   +2 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.
El Ouadih, Salah, Daher, Radouan
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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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Convergence rate of numerical solutions to SFDEs with jumps [PDF]

, 2011
In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui, Chenggui Yuan, Bottcher, Bjorn, Mao, Xuerong, Bao, Jianhai, Björn Böttcher, Jianhai Bao, Xuerong Mao   +7 more
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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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On compactness and connectedness of the paratingent [PDF]

, 2016
In this note we shall prove that for a continuous function \(\varphi : \Delta\to\mathbb{R}^n\), where \(\Delta\subset\mathbb{R}\),  the paratingent of \(\varphi\) at \(a\in\Delta\) is a non-empty and compact set in \(\mathbb{R}^n\) if and only if ...
Zygmunt, Wojciech
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