Geodesic
Green's formula for difference operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 147-153 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We construct an analogue of the classic Green's formula for linear partial differential operators for difference operators on a multidimensional integer lattice.
Keywords: Green's formula, integer lattice, group of shifts, difference operator, difference jet. 
@article{TMF_2009_161_2_a0,
     author = {V. V. Zharinov},
     title = {Green's formula for difference operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--153},
     year = {2009},
     volume = {161},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a0/}
}
TY  - JOUR
AU  - V. V. Zharinov
TI  - Green's formula for difference operators
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2009
SP  - 147
EP  - 153
VL  - 161
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a0/
LA  - ru
ID  - TMF_2009_161_2_a0
ER  - 
%0 Journal Article
%A V. V. Zharinov
%T Green's formula for difference operators
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2009
%P 147-153
%V 161
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a0/
%G ru
%F TMF_2009_161_2_a0
V. V. Zharinov. Green's formula for difference operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 147-153. http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a0/

[1] V. S. Vladimirov, V. V. Zharinov, Differents. uravneniya, 16:5 (1980), 845–867 | MR | Zbl

[2] V. V. Zharinov, DAN SSSR, 296:4 (1987), 785–787 | MR | Zbl

[3] V. V. Zharinov, Lecture Notes on Geometrical Aspects of Partial Differential Equations, Ser. Sov. and East Eur. Math., 9, World Sci., Singapore, 1992 | MR | Zbl

[4] V. V. Zharinov, TMF, 157:3 (2008), 391–405 | DOI | MR | Zbl

[5] V. E. Adler, A. B. Shabat, R. I. Yamilov, TMF, 125:3 (2000), 355–424 | DOI | MR | Zbl

[6] P. E. Hydon, E. L. Mansfield, Found. Comput. Math., 4:2 (2004), 187–217 | DOI | MR | Zbl

[7] W. Hereman, M. Colagrosso, R. Sayers, A. Ringler, B. Deconinck, M. Nivala, M. Hickman, “Continuous and discrete homotopy operators and the computation of conservation laws”, Differential Equations with Symbolic Computation, Trends Math., Birkhäuser, Basel, 2005, 255–290 | DOI | MR | Zbl