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Search results for: LAGRANGE'S FUNCTION
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Ecological Chemistry and Engineering S - Chemia i Inżynieria Ekologiczna S
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Anisotropic Orlicz–Sobolev spaces of vector valued functions and Lagrange equations
PublicationIn this paper we study some properties of anisotropic Orlicz and Orlicz–Sobolev spaces of vector valued functions for a special class of G-functions. We introduce a variational setting for a class of Lagrangian Systems. We give conditions which ensure that the principal part of variational functional is finitely defined and continuously differentiable on Orlicz–Sobolev space.
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Study of the transport properties of a molecular junction as a function of the distance between the leads
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Non-disjoint functional decomposition of index generation functions
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The theoretical description of friction force in bio-joints as function of cartilage roughness
PublicationWartości sił tarcia w naturalnych stawach człowieka a szczególnie w endoprotezach stawu biodrowego rzutują na proces zużywania się powierzchni stawowych. Dlatego problem wyznaczania sił tarcia w biołożyskach jest bardzo istotny. W trakcie chodzenia mamy co najmniej ruch sferycznej powierzchni głowy w dwóch różnych kierunkach dla naturalnych i sztucznych stawów biodrowych człowieka. Dlatego też siły tarcia występują co najmniej...
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Function
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Food & Function
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Existence of Two Periodic Solutions to General Anisotropic Euler-Lagrange Equations
PublicationAbstract. This paper is concerned with the following Euler-Lagrange system d/dtLv(t,u(t), ̇u(t)) =Lx(t,u(t), ̇u(t)) for a.e.t∈[−T,T], u(−T) =u(T), Lv(−T,u(−T), ̇u(−T)) =Lv(T,u(T), ̇u(T)), where Lagrangian is given by L=F(t,x,v) +V(t,x) +〈f(t),x〉, growth conditions aredetermined by an anisotropic G-function and some geometric conditions at infinity.We consider two cases: with and without forcing termf. Using a general version...
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Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
PublicationUsing the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\Lcal_v(t,u(t),\dot u(t))=\Lcal_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[a,b]\\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\Lcal=F(t,x,v)+V(t,x)+\langle f(t), x\rangle$ with growth conditions determined by anisotropic G-function and some geometric conditions...
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Feminismo/s
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