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Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]
Sci RepUllah Z, Hao J, Thabet STM, Moulahi T.
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The impact of treatment accessibility on HIV-TB co-infection: a comparative fractional-order modeling approach. [PDF]
BMC Infect DisCelestine AB +5 more
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New Properties of Holomorphic Sobolev-Hardy Spaces. [PDF]
Complex Anal Oper TheoryGryc W, Lanzani L, Xiong J, Zhang Y.
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Generalized Lipschitz Functions
Computational Methods and Function Theory, 2006Lipschitz classes with variable exponents \(\text{Lip}_{\alpha(t)}\) are introduced. The exponents \({\alpha(t)}\) (called test functions) are supposed to be real-valued continuous functions defined in the right neighbourhood of zero satisfying the following conditions: \[ 1)\;{\alpha(t) = \alpha + o(1)},\;\alpha\in {\mathbb R};\quad 2) \;\int_{0}^{t} \
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2021
In this chapter we focus our attention on the theory developed by Clarke for locally Lipschitz functionals. More precisely, we will investigate the properties of the generalized directional derivative and the Clarke subdifferential as well as the connection with the convex subdifferential.
Nicuşor Costea +2 more
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In this chapter we focus our attention on the theory developed by Clarke for locally Lipschitz functionals. More precisely, we will investigate the properties of the generalized directional derivative and the Clarke subdifferential as well as the connection with the convex subdifferential.
Nicuşor Costea +2 more
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MAKING CONTINUOUS FUNCTIONS LIPSCHITZ
Rocky Mountain Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Artstein, Zvi, Beer, Gerald
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Generalized Lipschitz functions
Nonlinear Analysis: Theory, Methods & Applications, 2000The aim of the reviewing article is to extend the concept of Lipschitz functions in such a way that it include nondecreasing functions and functions with bounded (below) derivatives. Jouini introduces such a general concept and proves that every bounded subset of generalized Lipschitz functions is relatively compact. More precisely, let \(Q\) be a cone
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Optimization Methods and Software, 2007
This paper describes a new approach to multivariate scattered data smoothing. It is assumed that the data are generated by a Lipschitz continuous function f, and include random noise to be filtered out. The proposed approach uses known, or estimated value of the Lipschitz constant of f, and forces the data to be consistent with the Lipschitz properties
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This paper describes a new approach to multivariate scattered data smoothing. It is assumed that the data are generated by a Lipschitz continuous function f, and include random noise to be filtered out. The proposed approach uses known, or estimated value of the Lipschitz constant of f, and forces the data to be consistent with the Lipschitz properties
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Lipschitz Functions and Ekeland’s Theorem
Journal of Optimization Theory and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beer, Gerald, Ceniceros, Jose
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Stochastic Lipschitz functions
Cybernetics, 1986We study the subdifferential of \textit{F. H. Clarke} [Trans. Amer. Math. Soc. 205, 247-262 (1975; Zbl 0307.26012)] or random Lipschitz functions. We show that it is a multivalued mapping which is measurable in the collection of determinate and stochastic variables.
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