Results 71 to 80 of about 2,460,837 (296)
Uniqueness for retarded delay differential equations without Lipschitz condition
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Consider the equation $\dot x(t)=f(t, x(t), x(t-r(t)))$ with the initial condition $x_{0}=\phi$. Here $f$ is a continuous real function, but it does not satisfy other regularity conditions.
M. Bartha, J. Terjéki
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Infinitesimal Lipschitz Equisingularity: Genericity and Necessity
, 2019 In earlier work we used the double of an ideal to define in integral closure terms a notion of infinitesimal Lipschitz equisingularity for hypersurfaces. We describe different ways of extending this notion to general spaces, and show the most restrictive
Gaffney, Terence
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BSDES With Stochastic Lipschitz Condition [PDF]
, 2000 published
Bender, Christian, Kohlmann, Michael
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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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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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
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On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
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AxiomsThis paper is concerned with the leader-following consensus of time-delay multi-agent systems (MASs) with stochastic perturbation over a directed network.
Tuo Zhou
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Some Condition for Scalar and Vector Measure Games to Be Lipschitz [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 We provide a characterization for vector measure gamesν=f∘μinpNA∞, withμvector of nonatomic probability measures, analogous to the one of Tauman for games inpNA, and also provide a necessary and sufficient condition for a particular class of vector measure games to belong toAC∞.
CENTRONE, Francesca, A. Martellotti
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Letter Written by Nathaniel Lipschitz to the Bryant College Service Club Dated April 4, 1943 [PDF]
, 1943 [Transcription begins] April 4, 1943 Chairman of the Bryant Service Club c/o Bryant College Providence, R. I. Dear Friend, Your little gift came in a few days after I wrote my last letter to you.
Lipschitz, Nathaniel
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