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On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations. / Il'in, Yu A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 40, No. 1, 01.03.2007, p. 36-45.

Research output: Contribution to journal › Article › peer-review

Harvard

Il'in, YA 2007, 'On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations', Vestnik St. Petersburg University: Mathematics, vol. 40, no. 1, pp. 36-45. https://doi.org/10.3103/S1063454107010049

APA

Il'in, Y. A. (2007). On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations. Vestnik St. Petersburg University: Mathematics, 40(1), 36-45. https://doi.org/10.3103/S1063454107010049

Vancouver

Il'in YA. On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations. Vestnik St. Petersburg University: Mathematics. 2007 Mar 1;40(1):36-45. https://doi.org/10.3103/S1063454107010049

Author

Il'in, Yu A. / On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations. In: Vestnik St. Petersburg University: Mathematics. 2007 ; Vol. 40, No. 1. pp. 36-45.

BibTeX

@article{7d61441e740e46c5853d706f621584ad,
title = "On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations",
abstract = "An essentially nonlinear system of differential equations (i. e., a system without linear terms) is considered. It is proved that there exists a local-integral manifold of neutral type (central manifold) near an equilibrium point. Coefficient conditions for logarithmic norms are used.",
author = "Il'in, {Yu A.}",
year = "2007",
month = mar,
day = "1",
doi = "10.3103/S1063454107010049",
language = "English",
volume = "40",
pages = "36--45",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - On the existence of a local-integral manifold of neural type for an essentially nonlinear system of differential equations

AU - Il'in, Yu A.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - An essentially nonlinear system of differential equations (i. e., a system without linear terms) is considered. It is proved that there exists a local-integral manifold of neutral type (central manifold) near an equilibrium point. Coefficient conditions for logarithmic norms are used.

AB - An essentially nonlinear system of differential equations (i. e., a system without linear terms) is considered. It is proved that there exists a local-integral manifold of neutral type (central manifold) near an equilibrium point. Coefficient conditions for logarithmic norms are used.

UR - http://www.scopus.com/inward/record.url?scp=84859708987&partnerID=8YFLogxK

U2 - 10.3103/S1063454107010049

DO - 10.3103/S1063454107010049

M3 - Article

AN - SCOPUS:84859708987

VL - 40

SP - 36

EP - 45

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 49233816