[Majoration de la dimension de l'espace des solutions concaténées d'un cas particulier de l'équation du pantographe]
Nous considérons les équations intégrales de la forme suivante pour :
Il existe des solutions non triviales à ces équations ([1]). Nous montrons dans ce travail que l'espace des solutions est de dimension au plus 2.
For each , we consider the integral equation:
There exists some non-trivial solutions ([1]). We show in this work that the dimension of the set of solutions is at most two.
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@article{CRMATH_2018__356_3_235_0, author = {Bertazzon, Jean-Fran\c{c}ois}, title = {Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation}, journal = {Comptes Rendus. Math\'ematique}, pages = {235--242}, publisher = {Elsevier}, volume = {356}, number = {3}, year = {2018}, doi = {10.1016/j.crma.2018.01.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.01.013/} }
TY - JOUR AU - Bertazzon, Jean-François TI - Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation JO - Comptes Rendus. Mathématique PY - 2018 SP - 235 EP - 242 VL - 356 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.01.013/ DO - 10.1016/j.crma.2018.01.013 LA - en ID - CRMATH_2018__356_3_235_0 ER -
%0 Journal Article %A Bertazzon, Jean-François %T Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation %J Comptes Rendus. Mathématique %D 2018 %P 235-242 %V 356 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.01.013/ %R 10.1016/j.crma.2018.01.013 %G en %F CRMATH_2018__356_3_235_0
Bertazzon, Jean-François. Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation. Comptes Rendus. Mathématique, Tome 356 (2018) no. 3, pp. 235-242. doi : 10.1016/j.crma.2018.01.013. http://archive.numdam.org/articles/10.1016/j.crma.2018.01.013/
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