Existence Results for Nonconvex Nonautonomous Differential Inclusions in Hilbert Spaces
We establish a solvability criterion for nonautonomous time-evolution inclusions governed by the right-hand side without the convexity assumption. In this study, we examine the problem x˙(t)∈F(t,x(t))a.e.onI0:=[0,T0], for some T0>0, where F has a closed ...
Messaoud Bounkhel
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Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body. [PDF]
Kashiwabara T, Itou H.
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On Fr\'{e}chet Subdifferential of Supremum for Arbitrary Family of Continuous Functions
The paper focuses on the Fr\'{e}chet subdifferential of the pointwise supremum of the family of functions taken over arbitrary index sets. The all functions in the corresponding family are defined on a Fr\'{e}chet smooth space; this class of Banach ...
D. V. Khlopin
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Optimization, Convex and Variational Analysis - Volume II. [PDF]
Aussel D +3 more
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Optimality conditions via weak subdifferentials in reflexive Banach spaces
In this paper the relation between the weak subdifferentials and the directional derivatives, as well as optimality conditions for nonconvex optimization problems in reflexive Banach spaces, are investigated. It partly generalizes several related results
Hassani, Sara +2 more
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Automatic feedback control for one class of contact piezoelectric problems
In this paper we investigate the dynamics of solutions of the second order evolution inclusion with discontinuous interaction function which can be represented as the difference of subdifferentials.
М. Z. Zgurovsky +2 more
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In this paper, we consider a class of nonsmooth weak vector variational-hemivariational inequality problems (abbreviated as, WVVHVIP) in the framework of Hadamard manifolds.
Balendu Bhooshan Upadhyay +3 more
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Calculus of second-order subdifferentials in infinite dimensions
We study two types of second-order subdifferentials of extended-real-valued functions on Banach spaces that are important for applications in variational analysis, especially to sensitivity issues and second-order optimality conditions.
Morduhovic, B.
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Semistrictly and neatly quasiconvex programming using lower global subdifferentials
: The main goal of this paper is to investigate the properties and connections of neatly and semistrictly quasiconvex functions, especially when they appear in constrained and unconstrained optimization problems.
Lara, F., Kabgani, Alireza
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Joint Design of RF and Gradient Waveforms via Auto-differentiation for 3D Tailored Excitation in MRI. [PDF]
Luo T, Noll DC, Fessler JA, Nielsen JF.
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