Results 11 to 20 of about 193,561 (277)
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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Nonlinear evolution inclusions: Topological characterizations of solution sets and applications
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Chen, De-Han +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 (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
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Nonmonotone, nonlinear evolution inclusions
The evolution inclusion \[ x'(t) + A(t,x(t))\in F(t,x(t ...
Papageorgiou, N. S. +2 more
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Exact and Truncated Dynamics in Nonequilibrium Field Theory [PDF]
Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques.
A. V. Ryzhov +30 more
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Economic growth and financial development: A macroeconomic aspect
Economic growth and its financial component is one of the thorniest problems of economic theory and practice. The paper studies the evolution of views on the relationship between economic growth and financial development.
Alexey A. Ilyukhin +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 \(f\in L^q(V^*)\).
Ke, Su, Zhen, He
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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.
Necula, Mihai +2 more
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In this study, the stress relief method of hollow inclusion and mathematical-statistical analysis are used to study the in situ stress distribution law of the Guotun coal mine, and the optimization strategy of roadway support is put forward.
Guangchao Zhang +9 more
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On nonlinear, nonconvex evolution inclusions
The paper contrasts the sets \(S(x_0)\) and \(S_e(x_0)\) of integral solutions of Benilan to the differential systems \(- x'(t)\in Ax(t)+ F(t, x(t))\), \(x(0)= x_0\) and \(-x'(t)\in Ax(t)+ \text{ext } F(t, x(t))\), \(x(0)= x_0\) respectively, where ext stands for the set of extreme points. The main results state that, for every \(x_0\in \overline D\), \
Hu, Shou Chuan +1 more
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