Geodesic
Discrete singular functionals
Archivum mathematicum, Tome 41 (2005) no. 3, pp. 339-347

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.
Classification : 39A12, 49J45, 49N10
Keywords: difference equation; half-linear equation; functional; singular functional 
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     author = {Ma\v{r}{\'\i}k, Robert},
     title = {Discrete singular functionals},
     journal = {Archivum mathematicum},
     pages = {339--347},
     publisher = {mathdoc},
     volume = {41},
     number = {3},
     year = {2005},
     mrnumber = {2188388},
     zbl = {1122.39303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2005__41_3_a8/}
}
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Mařík, Robert. Discrete singular functionals. Archivum mathematicum, Tome 41 (2005) no. 3, pp. 339-347. http://geodesic.mathdoc.fr/item/ARM_2005__41_3_a8/