Обобщенный оператор Грина линейной нетеровой дифференциально-алгебраической краевой задачи
Matematičeskie trudy, Tome 23 (2020) no. 1, pp. 187-206.

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

@article{MT_2020_23_1_a9,
     author = {S. M. Chujko},
     title = {{\CYRO}{\cyrb}{\cyro}{\cyrb}{\cyrshch}{\cyre}{\cyrn}{\cyrn}{\cyrery}{\cyrishrt} {\cyro}{\cyrp}{\cyre}{\cyrr}{\cyra}{\cyrt}{\cyro}{\cyrr} {{\CYRG}{\cyrr}{\cyri}{\cyrn}{\cyra}} {\cyrl}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}{\cyrishrt} {\cyrn}{\cyre}{\cyrt}{\cyre}{\cyrr}{\cyro}{\cyrv}{\cyro}{\cyrishrt} {\cyrd}{\cyri}{\cyrf}{\cyrf}{\cyre}{\cyrr}{\cyre}{\cyrn}{\cyrc}{\cyri}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyro}-{\cyra}{\cyrl}{\cyrg}{\cyre}{\cyrb}{\cyrr}{\cyra}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyrishrt} {\cyrk}{\cyrr}{\cyra}{\cyre}{\cyrv}{\cyro}{\cyrishrt} {\cyrz}{\cyra}{\cyrd}{\cyra}{\cyrch}{\cyri}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {187--206},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2020_23_1_a9/}
}
TY  - JOUR
AU  - S. M. Chujko
TI  - Обобщенный оператор Грина линейной нетеровой дифференциально-алгебраической краевой задачи
JO  - Matematičeskie trudy
PY  - 2020
SP  - 187
EP  - 206
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2020_23_1_a9/
LA  - ru
ID  - MT_2020_23_1_a9
ER  - 
%0 Journal Article
%A S. M. Chujko
%T Обобщенный оператор Грина линейной нетеровой дифференциально-алгебраической краевой задачи
%J Matematičeskie trudy
%D 2020
%P 187-206
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2020_23_1_a9/
%G ru
%F MT_2020_23_1_a9
S. M. Chujko. Обобщенный оператор Грина линейной нетеровой дифференциально-алгебраической краевой задачи. Matematičeskie trudy, Tome 23 (2020) no. 1, pp. 187-206. http://geodesic.mathdoc.fr/item/MT_2020_23_1_a9/

[1] Azbelev N. V., Maksimov N. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991 | MR

[2] Akhiezer N. I., Lektsii po teorii approksimatsii, Nauka, M., 1965 | MR

[3] Boichuk A. A., Krivosheya S. A., “Kriticheskaya periodicheskaya kraevaya zadacha dlya matrichnogo uravneniya Rikkati”, Differents. uravneniya, 37:4 (2001), 439–445 | MR | Zbl

[4] Boichuk A. A., Pokutnyi A. A., Chistyakov V. F., “O primenenii teorii vozmuschenii k issledovaniyu razreshimosti differentsialno-algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 53:6 (2013), 958–969 | DOI | Zbl

[5] Boichuk A. A., Shegda L. M., “Vyrozhdennye neterovy kraevye zadachi”, Neliniini kolivannya, 10:3 (2007), 303–312 | MR | Zbl

[6] Boyarintsev Yu. E., Chistyakov V. F., Algebro-differentsialnye sistemy. Metody resheniya i issledovaniya, Nauka, Novosibirsk, 1998

[7] Demidenko G. V., “Sistemy differentsialnykh uravnenii vysokoi razmernosti i uravneniya s zapazdyvayuschim argumentom”, Sib. matem. zhurn., 53:6 (2012), 1274–1282 | MR | Zbl

[8] Samoilenko A. M., Shkil M. I., Yakovets V. P., Liniini sistemi diferentsialnikh rivnyan z virodzhennyam, Vischa shkola, K., 2000

[9] Sysoev D. V., “Usloviya edinstvennosti polozheniya ravnovesiya zadachi Koshi dlya lineinykh matrichnykh differentsialno-algebraicheskikh uravnenii”, Visnik Kharkivskogo natsionalnogo universitetu im. V. N. Karazina. Seriya: Matematika, prikladna matematika ta mekhanika, 86 (2017), 10–17 | Zbl

[10] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1986 | MR

[11] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsialno-algebraicheskie zadachi, Mir, M., 1999

[12] Chistyakov V. F., Scheglova A. A., Izbrannye glavy teorii algebro-differentsialnykh sistem, Nauka, Novosibirsk, 2003 | MR

[13] Chuiko S. M., “Lineinye neterovy kraevye zadachi dlya differentsialno-algebraicheskikh sistem”, Komp. issledov. i modelirovanie, 5:5 (2013), 769–783

[14] Chuiko S. M., “Operator Grina obobschennoi matrichnoi differentsialno-algebraicheskoi kraevoi zadachi”, Sib. matem. zhurn., 56:4 (2015), 942–951 | MR | Zbl

[15] Chuiko S. M., Sysoev D. V., “Matrichnye periodicheskie kraevye zadachi s sosredotochennym zapazdyvaniem”, Nelineinye kolebaniya, 21:2 (2018), 273–283

[16] Boichuk A. A., Samoilenko A. M., Generalized Inverse Operators and Fredholm Boundary-Value Problems, Inverse and Ill-Posed Problems, 59, De Gruyter, Berlin–Boston, 2016 | MR | Zbl

[17] Chuiko S. M., “On approximate solution of boundary value problems by the least square method”, Nonlinear Oscillations (N. Y.), 11:4 (2008), 585–604 | DOI | MR | Zbl

[18] Chuiko S. M., “On the regularization of a linear Fredholm boundary-value problem by a degenerate pulsed action”, J. Math. Sci., 197:1 (2014), 138–150 | DOI | MR | Zbl

[19] Chuiko S. M., “On the regularization of a matrix differential-algebraic boundary-value problem”, J. Math. Sci., 220:5 (2017), 591–602 | DOI | MR | Zbl

[20] Chuiko S. M., “On a reduction of the order in a differential-algebraic system”, J. Math. Sci., 235:1 (2018), 2–14 | DOI | MR | Zbl

[21] Chuiko S. M., “The method of least squares in the theory of Noetherian differential-algebraic boundary-value problems”, J. Math. Sci., 242:3 (2019), 381–392 | DOI | MR | Zbl

[22] Campbell S. L., Singular Systems of Differential Equations, Pitman Advanced Publishing Program, San Francisco–London–Melbourne, 1980 | MR | Zbl

[23] Campbell S. L., Singular Systems of Differential Equations, v. II, Pitman Advanced Publishing Program, San Francisco–London–Melbourne, 1982 | MR | Zbl

[24] Campbell S. L., Petzold L. R., “Canonical forms and solvable singular systems of differential equations”, SIAM J. Algebraic Discrete Methods, 1983, no. 4, 517–521 | DOI | MR | Zbl