Geodesic
Nonlocal problem for the abstract Bessel--Struve eguation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 29-38.

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

We find sufficient conditions for the unique solvability of nonlocal problem for the abstract Bessel–Struve differential equation. Both nonlocal conditions are written with the help of Erdelyi–Kober operators.
Mots-clés : Bessel–Struve equation, nonlocal condition
Keywords: Erdelyi–Kober operator, unique solvability. 
@article{IVM_2019_7_a2,
     author = {A. V. Glushak},
     title = {Nonlocal problem for the abstract {Bessel--Struve} eguation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {29--38},
     publisher = {mathdoc},
     number = {7},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_7_a2/}
}
TY  - JOUR
AU  - A. V. Glushak
TI  - Nonlocal problem for the abstract Bessel--Struve eguation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2019
SP  - 29
EP  - 38
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2019_7_a2/
LA  - ru
ID  - IVM_2019_7_a2
ER  - 
%0 Journal Article
%A A. V. Glushak
%T Nonlocal problem for the abstract Bessel--Struve eguation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2019
%P 29-38
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2019_7_a2/
%G ru
%F IVM_2019_7_a2
A. V. Glushak. Nonlocal problem for the abstract Bessel--Struve eguation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 29-38. http://geodesic.mathdoc.fr/item/IVM_2019_7_a2/

[1] Glushak A. V., “Abstraktnaya zadacha Koshi dlya uravneniya Besselya–Struve”, Differents. uravneniya, 53:7 (2017), 891–905 | DOI | Zbl

[2] Zheng Q., “Integrated cosine functions”, Internat. J. Math. and Math. Sci., 19:3 (1996), 575–580 | DOI | MR | Zbl

[3] Zhang J., Zheng Q., “On $\alpha$-times integrated cosine functions”, Math. Jap., 50:3 (1999), 401–408 | MR | Zbl

[4] Kostić M., Generalized semigroups and cosine functions, Matematički institut SANU, Beograd, 2011 | MR | Zbl

[5] Lebedev N. N., Spetsialnye funktsii i ikh prilozheniya, Fizmatgiz, M., 1963

[6] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987

[7] Kamynin V. L., “Obratnaya zadacha odnovremennogo opredeleniya pravoi chasti i mladshego koeffitsienta v parabolicheskom uravnenii so mnogimi prostranstvennymi peremennymi”, Matem. zametki, 97:3 (2015), 368–381 | DOI | MR | Zbl

[8] Tikhonov I. V., “O razreshimosti zadachi s nelokalnym integralnym usloviem dlya differentsialnogo uravneniya v banakhovom prostranstve”, Differents. uravneniya, 34:6 (1998), 841–843 | Zbl

[9] Silchenko Yu. T., “Uravnenie parabolicheskogo tipa s nelokalnymi usloviyami”, SMFN, 17, 2006, 5–10 | Zbl

[10] Tikhonov I. V., “Teoremy edinstvennosti v lineinykh nelokalnykh zadachakh dlya abstraktnykh differentsialnykh uravnenii”, Izv. RAN. Ser. matem., 67:2 (2003), 133–166 | DOI | Zbl

[11] Glushak A. V., “Nelokalnaya zadacha dlya abstraktnogo uravneniya Eilera–Puassona–Darbu”, Izv. vuzov. Matem., 2016, no. 6, 1–9

[12] Glushak A. V., “O razreshimosti odnoi nelokalnoi zadachi dlya abstraktnogo uravneniya Malmstena”, Uchen. zap. Bryansk. gos. un-ta: fiz.-matem. nauki/biolog. nauki/veter. nauki, 3 (2016), 22–30

[13] Glushak A. V., Pokruchin O. A., “Kriterii razreshimosti zadachi Koshi dlya abstraktnogo uravneniya Eilera–Puassona–Darbu”, Differents. uravneniya, 52:1 (2016), 41–59 | DOI | MR | Zbl

[14] Prudnikov A. P., Brychkov Yu. A., Marichev O. I., Integraly i ryady. Spetsialnye funktsii, Nauka, M., 1983