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@article{MZM_2019_105_5_a1, author = {A. V. Glushak}, title = {An {Operator} {Formula} for the {Shift} of the {Solution} of the {Cauchy} {Problem} for an abstract {Euler--Poisson--Darboux} {Equation}}, journal = {Matemati\v{c}eskie zametki}, pages = {656--665}, publisher = {mathdoc}, volume = {105}, number = {5}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/} }
TY - JOUR AU - A. V. Glushak TI - An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation JO - Matematičeskie zametki PY - 2019 SP - 656 EP - 665 VL - 105 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/ LA - ru ID - MZM_2019_105_5_a1 ER -
%0 Journal Article %A A. V. Glushak %T An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation %J Matematičeskie zametki %D 2019 %P 656-665 %V 105 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/ %G ru %F MZM_2019_105_5_a1
A. V. Glushak. An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 656-665. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/
[1] A. V. Glushak, “Operatornaya funktsiya Besselya”, Dokl. AN, 352:5 (1997), 587–589 | MR | Zbl
[2] A. V. Glushak, O. A. Pokruchin, “Kriterii razreshimosti zadachi Koshi dlya abstraktnogo uravneniya Eilera–Puassona–Darbu”, Differents. uravneniya, 52:1 (2016), 41–59 | DOI | Zbl
[3] S. M. Sitnik, Transmutations and Applications: a Survey, 2010, arXiv: 1012.3741
[4] A. Fitouhi, I. Jebabli, E. L. Shishkina, S. M. Sitnik, “Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electron. J. Differential Equations, 2018 (2018), Paper No. 130 | MR | Zbl
[5] A. V. Glushak, “Kriterii razreshimosti vesovoi zadachi Koshi dlya abstraktnogo uravneniya Eilera–Puassona–Darbu”, Differents. uravneniya, 54:5 (2018), 627–637 | DOI | Zbl
[6] A. V. Glushak, “Abstraktnaya zadacha Koshi dlya uravneniya Besselya–Struve”, Differents. uravneniya, 53:7 (2017), 891–905 | DOI | Zbl
[7] A. V. Glushak, “O vozmuschenii abstraktnogo uravneniya Eilera–Puassona–Darbu”, Matem. zametki, 60:3 (1996), 363–369 | DOI | MR | Zbl
[8] A. V. Glushak, “Operatornaya funktsiya Besselya i svyazannye s neyu polugruppy i modifitsirovannoe preobrazovanie Gilberta”, Differents. uravneniya, 35:1 (1999), 128–130 | MR | Zbl
[9] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady. Elementarnye funktsii, Nauka, M., 1983 | MR
[10] J. Delsarte, “Une extension nouvelle de la theorie des fonctions presque-periodiques de Bohr”, Acta Math., 69 (1938), 259–317 | DOI | MR
[11] B. M. Levitan, “Razlozhenie po funktsiyam Besselya v ryady i integraly Fure”, UMN, 6:2 (42) (1951), 102–143 | MR | Zbl
[12] A. V. Glushak, “O stabilizatsii resheniya zadachi Dirikhle dlya odnogo ellipticheskogo uravneniya v banakhovom prostranstve”, Differents. uravneniya, 33:4 (1997), 510–514 | MR | Zbl