Results 31 to 40 of about 103,412 (240)
Moduli of Continuity for Exponential Lipschitz Classes [PDF]
Transactions of the American Mathematical Society, 1977 Let Ψ \Psi be a convex function, and let f be a real-valued function on [0, 1]. Let a modulus of continuity associated to Ψ \Psi be given as \[ Q Ψ ( δ , f ) = inf { λ :
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Journal of Mathematics, 2015 We study a class of stochastic differential equations driven by semimartingale with non-Lipschitz coefficients. New sufficient conditions on the strong uniqueness and the nonexplosion are derived for d-dimensional stochastic differential equations on Rd (
Jinxia Wang
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Quasi-Copulas, Copulas and Fuzzy Implicators
International Journal of Computational Intelligence Systems, 2020 In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a one-to-one correspondence between the classes of all quasi-copulas and 1-Lipschitz fuzzy ...
Radko Mesiar, Anna Kolesárová
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Lipschitz classes and the Hardy-Littlewood property
Monatshefte für Mathematik, 1993 A proper subdomain \(D\) of \(\mathbb{C}\) has the Hardy-Littlewood property if there is a constant \(k\) such that for any \(\beta\in(0,1]\) and any \(f\) analytic in \(D\) with \(| f'(z)|\leq m d(z,D)^{\beta-1}\) in \(D\) we have the Hölder condition (*) \(| f(z_ 1)-f(z_ 2)|\leq M| z_ 1-z_ 2|^ \beta\) in \(D\) with \(M=km/\beta\). If \(D\) satisfies (
Hag, K. +3 more
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Contact equations, Lipschitz extensions and isoperimetric inequalities
, 2009 We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first order nonlinear system of PDEs. We extend this study to graded group-valued Lipschitz mappings defined on compact Riemannian manifolds.
Magnani, Valentino
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Abstract and Applied Analysis, 2012 A class of neutral stochastic functional differential equations with Poisson jumps (NSFDEwPJs), d[x(t)-G(xt)]=f(xt, t)dt+g(xt,t)dW(t)+h(xt,t)dN(t), t∈[t0,T], with initial value xt0=ξ={ξ(θ):-τ≤θ≤0}, is investigated.
Jianguo Tan, Hongli Wang, Yongfeng Guo
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Lipschitz class, narrow class, and counting lattice points [PDF]
Proceedings of the American Mathematical Society, 2011 A well-known principle says that the number of lattice points in a bounded subset S S of Euclidean space is about the ratio of the volume and the lattice determinant, subject to some relatively mild conditions on S S .
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
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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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Existence and multiplications of solutions for a class of equation with a non-smooth potential [PDF]
Journal of Hyperstructures, 2015 This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a ...
Fariba Fattahi, M. Alimohammady
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