Results 21 to 30 of about 4,102,538 (267)
Backward stochastic differential equations with unbounded generators [PDF]
, 2018 In this paper we consider two classes of backward stochastic differential equations. Firstly, under a Lipschitz-type condition on the generator of the equation, which can also be unbounded, we give sufficient conditions for the existence of a unique ...
Gashi, Bujar, Li, Jiajie
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Optimal algorithms for global optimization in case of unknown Lipschitz constant [PDF]
, 2005 We consider a family of function classes which allow functions with several minima and which demand only Lipschitz continuity for smoothness.
Horn, Matthias U.
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On the Plemelj–Privalov theorem in Clifford analysis involving higher order Lipschitz classes
, 2019 The main purpose of this work is to prove that the higher order Lipschitz classes behave invariant under the action of a singular integral operator which arise naturally in polymonogenic Clifford algebra valued function theory.
L. De la Cruz Toranzo +2 more
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Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings [PDF]
Filomat, 2022 In this article, we consider the H?lder continuity of injective maps in Orlicz-Sobolev classes defined on the unit ball. Under certain conditions on the growth of dilatations, we obtain the H?lder continuity of the indicated class of mappings.
M. Mateljević +2 more
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Strongly Lipschitz up-Nuclear Operators
Moroccan Journal of Pure and Applied Analysis, 2019 In this paper, we introduce the notion of strongly Lipschitz up-nuclear operators. Among other results, we prove an analog of the factorization theorem for these classes and characterize their conjugates.
Belacel Amar, Bey Khedidja
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Mathematics, 2022 As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, Heng-You Lan, Hai-Yang Xu
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A new metric invariant for Banach spaces [PDF]
, 2009 We show that if the Szlenk index of a Banach space $X$ is larger than the first infinite ordinal $\omega$ or if the Szlenk index of its dual is larger than $\omega$, then the tree of all finite sequences of integers equipped with the hyperbolic distance ...
Baudier, F., Kalton, N. J., Lancien, G.
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Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions
Journal of Function Spaces, 2018 We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous, and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically nonlinear operators.
Aljoša Peperko
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Observer-Based Distributed Consensus Control for Nonlinear Lipschitz and One-Side Lipschitz Fractional-Order Multi-Agent Systems [PDF]
International Journal of Industrial Electronics, Control and OptimizationIn this paper, an observer-based controller design for fractional-order multi-agent systems is discussed. By introducing a novel algorithm and leveraging appropriate lemmas and theoretical frameworks, we propose a stable observer and a distributed ...
Farshid Aazam Manesh +3 more
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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets
Journal of Advanced Research in Natural and Applied SciencesThe study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
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