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83 sonuçtan 1-3 arası sonuçlar
Sayfa 661
Theorem 1 . 4 . The Green function G2 ( x , y ) of the differential operator L Ž is
positive in the domain 12 if and only if cos [ K & ( 92 ) ] 20 . Proof . Indeed , it
follows from Theorem 6 . 2 that the Green function is representable in the form Gp
( x , y ) ...
Theorem 1 . 4 . The Green function G2 ( x , y ) of the differential operator L Ž is
positive in the domain 12 if and only if cos [ K & ( 92 ) ] 20 . Proof . Indeed , it
follows from Theorem 6 . 2 that the Green function is representable in the form Gp
( x , y ) ...
Sayfa 717
It follows from the above that for p € ( 0 , r ) the points x : ( p ) fill the interval ( 21 ] ,
c ' ; ) . The zeros x + ( p ) and x ; ( p ) , j = 1 , 2 , . . . , are treated similarly . The
lemma is proved . 3 . 35 . Proof of Theorem 1 . 5 . It follows from Theorem 3 . 13
that ...
It follows from the above that for p € ( 0 , r ) the points x : ( p ) fill the interval ( 21 ] ,
c ' ; ) . The zeros x + ( p ) and x ; ( p ) , j = 1 , 2 , . . . , are treated similarly . The
lemma is proved . 3 . 35 . Proof of Theorem 1 . 5 . It follows from Theorem 3 . 13
that ...
Sayfa 786
Since the operators x ) commute with à , it follows that ( 2 . 14 ) x ( V . ) CV , # 1 ) .
The assertions ( 1 ) , ( 4 ) , and ( 5 ) will be proved by induction on 1 . If 1 = 0 ,
then ( 1 ) is already proved , and ( 4 ) does not make sense , since X " ) is not ...
Since the operators x ) commute with à , it follows that ( 2 . 14 ) x ( V . ) CV , # 1 ) .
The assertions ( 1 ) , ( 4 ) , and ( 5 ) will be proved by induction on 1 . If 1 = 0 ,
then ( 1 ) is already proved , and ( 4 ) does not make sense , since X " ) is not ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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