Geodesic
D'Alembert–Liouville–Ostrogradskii formula and related results
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 114-118 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Results, that generalize previous important results of the d'Alembert–Liouville–Ostrogradskii formula type by F. S. Rofe-Beketov, are obtained. The $2p\times 2p$ fundamental solution of the first order system is recovered by its $2p\times p$ block $Y_0$. Applications to the asymptotics of the continuous analogs of polynomial kernels and to the pseudo-Hermitian quantum mechanics are treated. Similar to the F. S. Rofe-Beketov results the invertibility of the $p \times p$ blocks of $Y_0$ on the interval is not required. 
@article{JMAG_2005_12_1_a7,
     author = {I. Roitberg and A. Sakhnovich},
     title = {D'Alembert{\textendash}Liouville{\textendash}Ostrogradskii formula and related results},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {114--118},
     year = {2005},
     volume = {12},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a7/}
}
TY  - JOUR
AU  - I. Roitberg
AU  - A. Sakhnovich
TI  - D'Alembert–Liouville–Ostrogradskii formula and related results
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2005
SP  - 114
EP  - 118
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a7/
LA  - en
ID  - JMAG_2005_12_1_a7
ER  - 
%0 Journal Article
%A I. Roitberg
%A A. Sakhnovich
%T D'Alembert–Liouville–Ostrogradskii formula and related results
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 114-118
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a7/
%G en
%F JMAG_2005_12_1_a7
I. Roitberg; A. Sakhnovich. D'Alembert–Liouville–Ostrogradskii formula and related results. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 114-118. http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a7/