Results 31 to 40 of about 6,730 (164)
Biomath, 2012 A computational treatment is presented for the mathematically rigorous analysis of civil engineering structures, which have been environmentally damaged and subsequently strengthened by cable-elements.
Konstantinos Liolios +4 more
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Generalized subdifferential of the distance function [PDF]
Proceedings of the American Mathematical Society, 2005 We derive the proximal normal formula for almost proximinal sets in a smooth and locally uniformly convex Banach space. Our technique leads us to show the generic Fréchet smoothness of the distance function in the case the norm is Fréchet smooth, and we derive a necessary and sufficient condition for the convexity of a Chebyshev set in a Banach space
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Nonlinear Analysis, 2019 In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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Advances in Difference Equations, 2021 In this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order 1 < r < 2 $1 ...
M. Mohan Raja +4 more
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Nonconvex evolution inclusions generated by time‐dependent subdifferential operators
International Journal of Stochastic Analysis, 1998 We consider nonlinear nonconvex evolution inclusions driven by time‐varying subdifferentials ∂ϕ(t, x) without assuming that ϕ(t.) is of compact type. We show the existence of extremal solutions and then we prove a strong relaxation theorem. Moreover, we show that under a Lipschitz condition on the orientor field, the solution set of the nonconvex ...
Arseni-Benou, Kate +2 more
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On the Dini-Hadamard subdifferential of the difference of two functions
, 2010 In this paper we first provide a general formula of inclusion for the Dini-Hadamard epsilon-subdifferential of the difference of two functions and show that it becomes equality in case the functions are directionally approximately starshaped at a given ...
Bot, Radu Ioan, Nechita, Delia-Maria
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Nonlinear evolution equations generated by subdifferentials with nonlocal constraints [PDF]
Banach Center Publications, 2009 We consider an abstract formulation for a class of parabolic quasi-variational inequalities or quasi-linear PDEs, which are generated by subdifferentials of convex functions with various nonlocal constraints depending on the unknown functions. In this paper we specify a class of convex functions {φ(v; ·)} on a real Hilbert space H, with parameters 0 ...
Risei Kano +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
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Electronic Research ArchiveThe aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are
Haijun Wang, Gege Kang, Ruifang Zhang
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Toward Dynamic Phase‐Field Fracture at Finite Strains
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
wiley +1 more source