Geodesic
An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 3-17

Voir la notice de l'article provenant de la source Math-Net.Ru

An explicit formula for solutions of an analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator is obtained. The construction of a solution is based on the application of the multidimensional Erdélyi–Kober operator of fractional order.
Keywords: Cauchy problem, equation polycaloric, Erdélyi–Kober operator, Bessel differential operator. 
@article{INTO_2018_156_a0,
     author = {Shakhobiddin T. Karimov},
     title = {An analog of the {Cauchy} problem for the inhomogeneous multidimensional polycaloric equation containing the {Bessel} operator},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {156},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_156_a0/}
}
TY  - JOUR
AU  - Shakhobiddin T. Karimov
TI  - An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2018
SP  - 3
EP  - 17
VL  - 156
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2018_156_a0/
LA  - ru
ID  - INTO_2018_156_a0
ER  - 
%0 Journal Article
%A Shakhobiddin T. Karimov
%T An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2018
%P 3-17
%V 156
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2018_156_a0/
%G ru
%F INTO_2018_156_a0
Shakhobiddin T. Karimov. An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 3-17. http://geodesic.mathdoc.fr/item/INTO_2018_156_a0/