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Sayfa 786
The following assertions are valid ( if the operators involved in them are defined )
: ( 1 ) dim V . . ) = r and Video CCO ) . ( 2 ) Ker X ! ) = { 0 } . ( 3 ) Ker ( 3 ) Ker X ) = V
( ! ) + = ' ill + p ) , 1 : ( 4 ) X ! ! ( V / ? n ) = V . FI ( 5 ) x ( Vit ) ) = V ! ) , where r = r ...
The following assertions are valid ( if the operators involved in them are defined )
: ( 1 ) dim V . . ) = r and Video CCO ) . ( 2 ) Ker X ! ) = { 0 } . ( 3 ) Ker ( 3 ) Ker X ) = V
( ! ) + = ' ill + p ) , 1 : ( 4 ) X ! ! ( V / ? n ) = V . FI ( 5 ) x ( Vit ) ) = V ! ) , where r = r ...
Sayfa 850
3 . The obvious analogues of ( 3 . 27 ) and ( 3 . 28 ) are valid for n on the discrete
spectrum of the operators V . and U . It is necessary only to remark that the
analogue of an interval here is an arc in the positive direction ( counterclockwise
) . 4 .
3 . The obvious analogues of ( 3 . 27 ) and ( 3 . 28 ) are valid for n on the discrete
spectrum of the operators V . and U . It is necessary only to remark that the
analogue of an interval here is an arc in the positive direction ( counterclockwise
) . 4 .
Sayfa 1221
( b ) Suppose that the rule ( I ) - ( V ) for finding an optimum is valid for problem ( 0
. 1 ) . We show that then the pair ( F , G ) forms an S - system . Indeed , if F ( 2 ) >
in the domain zeZ , G ( z ) < 0 for some QER , then the infimum on the left - hand ...
( b ) Suppose that the rule ( I ) - ( V ) for finding an optimum is valid for problem ( 0
. 1 ) . We show that then the pair ( F , G ) forms an S - system . Indeed , if F ( 2 ) >
in the domain zeZ , G ( z ) < 0 for some QER , then the infimum on the left - hand ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero