Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions
We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter λ. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections ...
Papageorgiou Nikolaos S. +2 more
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Solutions of nonlinear evolution inclusions
The authors consider the nonlinear evolution inclusion \[ \frac{du} {dt}+B\bigl( t,u(t)\bigr)\ni f(t),\quad t\in[0,T]\quad u(0)=u_0,\tag{1} \] in a real reflexive Banach space \(V\) with dual \(V^*\), in which \(B:[0,T]\times V \to V^*\) is measurable and nonempty closed convex set-valued and \(f\in L^q(V^*)\).
Su Ke
exaly +2 more sources
Nonlinear evolution inclusions: Topological characterizations of solution sets and applications
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Rong-Nian Wang, Yong Zhou
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Nonlinear evolution inclusions arising from phase change models [PDF]
This paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Pierluigi Colli +2 more
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Well-posedness of a fully nonlinear evolution inclusion of second order
The well-posedness of the abstract \textsc{Cauchy} problem for the doubly nonlinear evolution inclusion equation of second order \begin{align*} \begin{cases} u''(t)+\partial Ψ(u'(t))+B(t,u(t))\ni f(t), &\quad t\in (0,T),\, T>0,\\ u(0)=u_0, \quad u'(0)=v_0 \end{cases} \end{align*} in a real separable \textsc{Hilbert} space $\mathscr{H}$, where ...
Aras Bacho
exaly +3 more sources
Causality violations in realistic simulations of relativistic nuclear collisions [PDF]
We show that relativistic causality is violated in the early stages of state-of-the-art heavy-ion hydrodynamic simulations of nuclear collisions. Up to 75% of the initial fluid cells violate nonlinear causality constraints, while superluminal propagation
Plumberg Christopher +4 more
doaj +1 more source
Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions [PDF]
In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su, Funing Lin
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Existence theorems for nonlinear evolution inclusions [PDF]
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CARDINALI, Tiziana, F. Papalini
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On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces [PDF]
In this paper, we discuss the existence results for a class of nnlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the
Zuomao Yan
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Nonlinear Delay Evolution Inclusions on Graphs [PDF]
We prove a necessary and a sufficient condition for a time-dependent closed set to be viable with respect to a delay evolution inclusion. An application to a null controllability problem is also included.
Mihai Necula +2 more
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