About Us

Executive Editor:
Publishing house "Academy of Natural History"

Editorial Board:
Asgarov S. (Azerbaijan), Alakbarov M. (Azerbaijan), Aliev Z. (Azerbaijan), Babayev N. (Uzbekistan), Chiladze G. (Georgia), Datskovsky I. (Israel), Garbuz I. (Moldova), Gleizer S. (Germany), Ershina A. (Kazakhstan), Kobzev D. (Switzerland), Kohl O. (Germany), Ktshanyan M. (Armenia), Lande D. (Ukraine), Ledvanov M. (Russia), Makats V. (Ukraine), Miletic L. (Serbia), Moskovkin V. (Ukraine), Murzagaliyeva A. (Kazakhstan), Novikov A. (Ukraine), Rahimov R. (Uzbekistan), Romanchuk A. (Ukraine), Shamshiev B. (Kyrgyzstan), Usheva M. (Bulgaria), Vasileva M. (Bulgar).

Home / Issues / № 4, 2010

ESTIMATION OF SOLUTION OF EULER-LAGRANGE EQUATION IN THE BOUNDARY LAYER
V. Svyatskov
Let´s define a ratio between extremals an extremal problem for functional (1) ([1], p.34, formula (1.1.1)) and a problem (2) ([1], p.39, formula (1.2.1)) under :

 (1)

 (2)

where the set  is defined by next expression:

 (3)

Let:

  • a function u(t) is the solution of the problem for functional (1),
  • a function is the solution of the problem (2).

From expression (3) it follows

As a result we obtain the estimation

REFERENCES

Svyatskov V.A. The equation of Euler-Lagrange in the Boundary Layer with Applications. Cheboksary´s Polytechnical Institute of Moscow State Open University, Cheboksary, 2008, 135 pp., Second corr. edition. (monograph, in Russian) ISBN 978-5-902891-47-5.


The work was submitted to international scientific conference «Present-day problems of science and education», Russia (Moscow), February, 16-18, 2010. Recieved by editorial office on 20.01.2010.


Bibliographic reference

V. Svyatskov ESTIMATION OF SOLUTION OF EULER-LAGRANGE EQUATION IN THE BOUNDARY LAYER. International Journal Of Applied And Fundamental Research. – 2010. – № 4 –
URL: www.science-sd.com/386-23451 (07.06.2025).