On the preservation of the solvability of the semi-linear equation of the global electrical circuit

Chernov, A.

doi:10.31857/S004446690003555-1

Home

Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki

Issue 12

On the preservation of the solvability of the semi-linear equation of the global electrical circuit

Annotation
Reviews
References

On the preservation of the solvability of the semi-linear equation of the global electrical circuit

PII

S004446690003555-1-1

DOI

10.31857/S004446690003555-1

Publication type

Article

Status

Published

Authors

A. Chernov

Affiliation: Nizhny Novgorod State. technical un-t them. R.E. Alekseeva
Address: Russian Federation

Journal name

Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki

Edition

Volume 58 Issue 12

Pages

2095-2111

Abstract

Keywords

Received

23.01.2019

Publication date

23.01.2019

Cite Download pdf To download PDF you should sign in

GOST	Chernov A. On the preservation of the solvability of the semi-linear equation of the global electrical circuit // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki – 2018. – V. 58. – Issue 12 C. 2095-2111 [Electronic resource]. URL: http://ras.jes.su/zvmmf/s004446690003555-1-1-en (circulation date: 06.05.2024). DOI: 10.31857/S004446690003555-1
MLA	Chernov, A. "On the preservation of the solvability of the semi-linear equation of the global electrical circuit." Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58.12 (2018):2095-2111. DOI: 10.31857/S004446690003555-1
APA	Chernov A. (2018). On the preservation of the solvability of the semi-linear equation of the global electrical circuit. Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58(12), pp.2095-2111 DOI: 10.31857/S004446690003555-1

Размещенный ниже текст является ознакомительной версией и может не соответствовать печатной

Readers community rating: votes 0

1. Zhidkov A.A., Kalinin A.V. Nekotorye voprosy matematicheskogo i chislennogo modelirovaniya global'noj ehlektricheskoj tsepi v atmosfere // Vestnik Nizhegorodskogo un-ta im.N.I.Lobachevskogo. 2009. 6(1). S.150-158.

2. Kalinin A.V., Slyunyaev N.N. Initial-boundary value problems for the equations of the global atmospheric electric circuit // J. of Mathematical Analysis and Applications. 2017. Vol.450. P.112-136.

3. Chernov A.V. O differentsirovanii funktsionala v zadache parametricheskoj optimizatsii koehffitsienta uravneniya global'noj ehlektricheskoj tsepi // Zhurn. vychisl. matem. i matem. fiz. 2016. T.56. 9. S.1586–1601.

4. Chernov A.V. O differentsirovanii funktsionala v zadache parametricheskoj optimizatsii starshego koehffitsienta ehllipticheskogo uravneniya // Differents. uravneniya. 2015. T.51. 4. S.538–547.

5. Chernov A.V. O edinstvennosti resheniya obratnoj zadachi opredeleniya parametrov v starshem koehffitsiente i pravoj chasti ehllipticheskogo uravneniya // Dal'nevostochnyj matematicheskij zhurnal. 2016. T.16. 1. S.96–110.

6. Sumin V.I. Optimizatsiya upravlyaemykh obobschennykh vol'terrovykh sistem: Dis. ... kand.fiz.-mat.nauk. Gor'kij: GGU, 1975. 158 s.

7. Sumin V.I. Ob ustojchivosti suschestvovaniya global'nogo resheniya pervoj kraevoj zadachi dlya upravlyaemogo parabolicheskogo uravneniya // Differents. uravneniya. 1986. T.22. 9. S.1587–1595.

8. Sumin V.I. Funktsional'no-operatornye vol'terrovy uravneniya v teorii optimal'nogo upravleniya raspredelennymi sistemami // Dokl. AN SSSR. 1989. T.305. 5. C.1056–1059.

9. Sumin V.I. Ob obosnovanii gradientnykh metodov dlya raspredelennykh zadach optimal'nogo upravleniya // Zh. vychisl. matem. i matem. fiz.. 1990. T.30. 1. S.3–21.

10. Sumin V.I. O dostatochnykh usloviyakh ustojchivosti suschestvovaniya global'nykh reshenij upravlyaemykh kraevykh zadach // Differents. uravneniya. 1990. T.26. 12. S.2097–2109.

11. Sumin V.I. Funktsional'no-operatornye uravneniya Vol'terra i ustojchivost' suschestvovaniya global'nykh reshenij kraevykh zadach // Ukr. matem. zhurn. 1991. T.43. 4. S.555–561.

12. Sumin V.I. Funktsional'nye vol'terrovy uravneniya v teorii optimal'nogo upravleniya raspredelennymi sistemami. Chast' 1. Vol'terrovy uravneniya i upravlyaemye nachal'no-kraevye zadachi. Monografiya. N.Novgorod: Izd-vo NNGU, 1992. 110 s.

13. Sumin V.I., Chernov A.V. Usloviya ustojchivosti suschestvovaniya global'nykh reshenij upravlyaemoj zadachi Koshi dlya giperbolicheskogo uravneniya // Vestnik NNGU. Matematicheskoe modelirovanie i optimal'noe upravlenie. 1997. S.94–103.

14. Sumin V.I. Upravlyaemye funktsional'nye vol'terrovy uravneniya v lebegovykh prostranstvakh // Vestnik Nizhegorodskogo universiteta. Matematicheskoe modelirovanie i optimal'noe upravlenie / N.Novgorod: Izd-vo NNGU. 1998. 2 (19). S.138-151.

15. Sumin V.I. Funktsional'nye vol'terrovy uravneniya v matematicheskoj teorii optimal'nogo upravleniya raspredelennymi sistemami: Dis. ... dokt.fiz.-mat.nauk. N.Novgorod: NNGU, 1998. 346 s.

16. Chernov A.V. Ob usloviyakh ustojchivosti suschestvovaniya global'nykh reshenij upravlyaemoj zadachi Gursa dlya giperbolicheskikh uravnenij // Vestnik NNGU. Matematicheskoe modelirovanie i optimal'noe upravlenie. 1999. Vyp.1(20). C.154–162.

17. Lisachenko I.V., Sumin V.I. Nelinejnaya upravlyaemaya zadacha Gursa-Darbu: usloviya sokhraneniya global'noj razreshimosti // Differents. uravneniya. 2011. T.47. 6. C.858–870.

18. Sumin V.I. Problema ustojchivosti suschestvovaniya global'nykh reshenij upravlyaemykh kraevykh zadach i vol'terrovy funktsional'nye uravneniya // Vestnik NNGU. Matematika. 2003. Vyp.1. C.91–107.

19. Sumin V.I., Chernov A.V. Vol'terrovy funktsional'no-operatornye uravneniya v teorii optimizatsii raspredelennykh sistem // Tr. Mezhdunar. konf. , posvyaschennoj 90-letiyu so dnya rozhd. akad. N.N. Krasovskogo (Ekaterinburg, Rossiya, 15-20 sentyabrya 2014g.). Ekaterinburg: Izd-vo IMM UrO RAN — URFU. 2015. S.293–300.

20. Sumin V.I., Chernov A.V. Vol'terrovy operatornye uravneniya v banakhovykh prostranstvakh: ustojchivost' suschestvovaniya global'nykh reshenij. N.Novgorod: NNGU, 2000. Dep. v VINITI 25.04.00. 1198-V00.

21. Chernov A.V. Vol'terrovy operatornye uravneniya i ikh primenenie v teorii optimizatsii giperbolicheskikh sistem. Diss. kand. fiz.-mat. nauk. N.Novgorod: NNGU. 2000. 177 s.

22. Sumin V.I., Chernov A.V. O dostatochnykh usloviyakh ustojchivosti suschestvovaniya global'nykh reshenij vol'terrovykh operatornykh uravnenij // Vestnik NNGU. Matematicheskoe modelirovanie i optimal'noe upravlenie. 2003. Vyp.1(26). C.39–49.

23. Chernov A.V. O mazhorantno-minorantnom priznake total'nogo sokhraneniya global'noj razreshimosti upravlyaemogo funktsional'no-operatornogo uravneniya // Izv. vuzov. Matematika. 2012. 3. S.62–73.

24. Chernov A.V. O total'no global'noj razreshimosti upravlyaemogo uravneniya tipa Gammershtejna s var'iruemym linejnym operatorom // Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Komp'yuternye nauki. 2015. T.25. Vyp.2. S.230–243.

25. Chernov A.V. Ob odnom mazhorantno-minorantnom priznake total'nogo sokhraneniya global'noj razreshimosti upravlyaemykh raspredelennykh sistem // Differents. uravneniya. 2016. T.52. 1. S.112–122.

26. Ladyzhenskaya O.A., Ural'tseva N.N. Linejnye i kvazilinejnye uravneniya ehllipticheskogo tipa. M.: Nauka, 1973. 576 s.

27. Gaevskij Kh., Grxger K., Zakharias K. Nelinejnye operatornye uravneniya i operatornye differentsial'nye uravneniya. M.: Mir, 1978. 336 s.

28. Sveshnikov A.G., Al'shin A.B., Korpusov M.O. Nelinejnyj funktsional'nyj analiz i ego prilozheniya k uravneniyam v chastnykh proizvodnykh. M.: Nauchnyj mir, 2008. 400 s.