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Calculus of variations
The difference between strong and weak extrema is that, for a strong extremum, f 0 is a local extremum relative to the set of δ-close functions with respect to the ... More »
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www.jstor.org/stable/1986442
FOR A STRONG EXTREMUM OF THE INTEGRAL. rXl. F (x y, y')dx*. BY. OSKAR BOLZA. In a previous article t I called attention to the fact that the conditions of ...
www.sciencedirect.com/science/article/pii/0041555379900... www.sciencedirect.com/science/article/pii/0041555379900739
A STRONG extremum principle is proved for weakly elliptically connectd 2nd- order operators; it is an extension of Aleksandrov's isotropic extremum principle for ...
netfiles.uiuc.edu/liberzon/www/teaching/cvoc/node27.htm... netfiles.uiuc.edu/liberzon/www/teaching/cvoc/node27.html
For this reason, the resulting first-order necessary condition handles weak extrema. However, since a $ \mathcal C^1$ strong extremum is automatically a weak ...
netfiles.uiuc.edu/liberzon/www/teaching/cvoc/node26.htm... netfiles.uiuc.edu/liberzon/www/teaching/cvoc/node26.html
2.2.1 Weak and strong extrema. ... is a strong extremum, then it is automatically a weak one, but the converse is not true. The reason is that an $ \varepsilon $ ...
iopscience.iop.org/0036-0279/34/4/L25/pdf/RMS_34_4_L25.... iopscience.iop.org/0036-0279/34/4/L25/pdf/RMS_34_4_L25.pdf
A NECESSARY AND SUFFICIENT CONDITION FOR A STRONG EXTREMUM IN A. DEGENERATE PROBLEM OF THE CALCULUS OF VARIATIONS ...
iopscience.iop.org/0025-5734/40/1/A02
ON THE STRONG EXTREMUM PRINCIPLE FOR A $\mathrm{D}$ - $(\Pi, \Omega )$ -ELLIPTICALLY CONNECTED OPERATOR OF SECOND ORDER ...
www.mathnet.ru/eng/rm4105
Citation: M. G. Tagiev, “A necessary and sufficient condition for a strong extremum in a degenerate problem of the calculus of variations”, Uspekhi Mat. Nauk ...
www.turpion.org/php/full/infoFT.phtml?journal_id=sm&pap... www.turpion.org/php/full/infoFT.phtml?journal_id=sm&paper_id=1634
In this paper the strong extremum principle is proved for a certain new class of ... isotropic strong extremum principle is a special case of Aleksandrov's general ...
www.encyclopediaofmath.org/index.php/Weierstrass_condit... www.encyclopediaofmath.org/index.php/Weierstrass_conditions_(for_a_variational_extremum)
Feb 7, 2011 ... Necessary and (partially) sufficient conditions for a strong extremum in the classical calculus of variations (cf. Variational calculus). Proposed in ...
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