Results 31 to 40 of about 3,785 (249)
Alexandria Engineering Journal, 2023 In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar +2 more
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Characterization of the Local Lipschitz Constant
Journal of Approximation Theory, 1994 Let \(X\) be a closed subset of \([a,b]\) with at least \(n+1\) points, and let \(C(X)\) denote the space of continuous real valued functions on \(X\) endowed with the uniform norm. Let \(H_ n\) denote a Haar set of dimension \(n\), and let the best approximation of \(f\in C(X)\) in \(H_ n\) be \(B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C. +4 more
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
The Scientific World Journal, 2013 A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
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Journal of Approximation Theory, 1985 Let X be a closed subset of \(I=[-1,1]\). For \(f\in C[X]\), the local Lipschitz constant is defined to be \(\lambda_{n\delta}(f)=\sup \{\| B_ n(f)-B_ n(g)\| /\| f-g ...
Angelos, James R +3 more
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Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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A NEW PROOF OF CLARKE'S THEOREM
Tạp chí Khoa học Đại học Đà Lạt, 2012 In this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions.
Gue Myung Lee, Phạm Tiến Sơn
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Purely 1-Unrectifiable Metric Spaces and Locally Flat Lipschitz Functions [PDF]
, 2021 International audienceFor any compact metric space M , we prove that the locally flat Lipschitz functions separate points (of M) uniformly if and only if M is purely 1-unrectifiable, resolving a problem posed by Weaver in 1999.
Petitjean, Colin +5 more
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
Opuscula Mathematica, 2012 In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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Local and global Lipschitz constants
Journal of Approximation Theory, 1986 Let X be a closed subset of [-1,1] which contains at least \(n+2\) points, and let \(B_ n(f)\) be the best uniform approximation to \(f\in C[X]\) from the set \(\pi_ n\) of all polynomials of degree at most n. The global Lipschitz constant of f is defined as \[ \lambda_ n(f)=\sup \{\| B_ n(f)-B_ n(g)\| /\| f-g\|:g\in C[X],g\neq f\}, \] and the strong ...
Angelos, James R +4 more
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