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Global existence in the Lipschitz class for the N-Peskin problem [PDF]
Indiana University Mathematics Journal, 2020 In this paper we study the Peskin problem. This is a fluid-structure interaction problem that describes the motion of an elastic rod immersed in an incompressible Stokes fluid.
F. Gancedo +2 more
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Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems [PDF]
Archives of Control Sciences, 2023 This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones.
Imed Basdouri, Souad Kasmi, Jean Lerbet
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APPROXIMATION BY MATRIX TRANSFORMSIN MORREY SPACES
Проблемы анализа, 2021 In this work, approximation properties of matrix transforms constructed via the Fourier and Faber series in the subspaces of Morrey spaces are investigated.
A. Testici, D. M. Israfilov
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Approximation properties of the new type generalized Bernstein-Kantorovich operators
AIMS Mathematics, 2022 In this paper, we introduce new type of generalized Kantorovich variant of α-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz ...
Mustafa Kara
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Математичні Студії, 2022 In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this function ...
O. G. Rovenska
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IET Control Theory & Applications, 2023 In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is ...
Kazuki Umemoto +2 more
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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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Approximation of Lipschitz Functions using Deep Spline Neural Networks [PDF]
SIAM Journal on Mathematics of Data Science, 2022 Lipschitz-constrained neural networks have many applications in machine learning. Since designing and training expressive Lipschitz-constrained networks is very challenging, there is a need for improved methods and a better theoretical understanding ...
Sebastian Neumayer +3 more
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Local properties of J-complex curves in Lipschitz-continuous structures [PDF]
, 2009 We prove the existence of primitive curves and positivity of intersections of $J$-complex curves for Lipschitz-continuous almost complex structures. These results are deduced from the Comparison Theorem for $J$-holomorphic maps in Lipschitz structures ...
Ivashkovich, S., Shevchishin, V.
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On Lipschitz-like continuity of a class of set-valued mappings [PDF]
Optimization, 2019 We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed constant rank constraint qualification.
E. Bednarczuk +2 more
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