Results 1 to 10 of about 7,649 (300)
A note on Cauchy-Lipschitz-Picard theorem
Journal of Inequalities and Applications, 2016 In this note, we try to generalize the classical Cauchy-Lipschitz-Picard theorem on the global existence and uniqueness for the Cauchy initial value problem of the ordinary differential equation with global Lipschitz condition, and we try to weaken the ...
Zonghong Feng +3 more
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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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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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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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Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The main goal of this work is to develop and analyze an accurate trun-cated stochastic Runge–Kutta (TSRK2) method to obtain strong numeri-cal solutions of nonlinear one-dimensional stochastic differential equations (SDEs) with continuous Hölder diffusion
A. Haghighi
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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Electronic Journal of Qualitative Theory of Differential Equations, 2009 This article presents the results on existence, uniqueness and stability of mild solutions of impulsive stochastic semilinear neutral functional differential equations without a Lipschitz condition and with a Lipschitz condition. The results are obtained
Annamalai Anguraj, A. Vinodkumar
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