Results 11 to 20 of about 4,580 (209)
Pinning Synchronization of One-Sided Lipschitz Complex Networks
Discrete Dynamics in Nature and Society, 2014 This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition.
Fang Liu +3 more
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A generalized Picard-Lindelöf theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We generalize the Picard-Lindelöf theorem on the unique solvability of initial value problems $\dot x=f(t,x)$, $x(t_0)=x_0$, by replacing the sufficient classical Lipschitz condition of $f$ with respect to $x$ with a more general Lipschitz condition ...
Stefan Siegmund +2 more
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Journal of Applied Mathematics, 2012 The numerical methods in the current known literature require the stochastic differential equations (SDEs) driven by Poisson random measure satisfying the global Lipschitz condition and the linear growth condition.
Hui Yu, Minghui Song
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Optimality conditions for non-Lipschitz vector problems with inclusion constraints
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2019 We use the concept of approximation introduced by D.T. Luc et al. [1] as a generalized derivative for non-Lipschitz vector functions to consider vector problems with non-Lipschitz data under inclusion constraints.
Phan Nhat Tinh
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Demonstratio Mathematica, 2021 In this paper, we introduce a new algorithm for solving pseudomonotone variational inequalities with a Lipschitz-type condition in a real Hilbert space.
Wairojjana Nopparat +2 more
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Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Journal of Inequalities and Applications, 2018 Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
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On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane
Abstract and Applied Analysis, 2005 We give a sharp estimate on the cardinality of point preimages of a uniform co-Lipschitz mapping on the plane. We also give a necessary and sufficient condition for a ball noncollapsing Lipschitz function to have a point with infinite preimage.
Olga Maleva
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Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations
Journal of Function Spaces, 2015 This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any ...
Qixiang Dong, Guangxian Wu, Lanping Zhu
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Uniqueness theorem of differential system with coupled integral boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper is devoted to study the uniqueness of solutions for a differential system with coupled integral boundary conditions under a Lipschitz condition. Our approach is based on the Banach's contraction principle.
Yujun Cui +3 more
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