Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material
Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 242-253
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The uniqueness theorem is proved and necessary, sufficient conditions feasibility of postulate stability in small and large are given for a heterogeneously elastic material model for geonetrically linear statment of boundary problem of the elasticity theory based on exact solution inequalities of local convexity elasic potential and stability. It is analised the conditions of uniqueness and stability for a special case: a loose material model and its geometric interpretation is given.
@article{DVMG_2002_3_2_a8,
author = {A. I. Oleinikov and E. V. Mogil'nikov},
title = {Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {242--253},
publisher = {mathdoc},
volume = {3},
number = {2},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a8/}
}
TY - JOUR AU - A. I. Oleinikov AU - E. V. Mogil'nikov TI - Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2002 SP - 242 EP - 253 VL - 3 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a8/ LA - ru ID - DVMG_2002_3_2_a8 ER -
%0 Journal Article %A A. I. Oleinikov %A E. V. Mogil'nikov %T Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material %J Dalʹnevostočnyj matematičeskij žurnal %D 2002 %P 242-253 %V 3 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a8/ %G ru %F DVMG_2002_3_2_a8
A. I. Oleinikov; E. V. Mogil'nikov. Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material. Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 242-253. http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a8/