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ESTIMATION OF SOLUTION OF EULER-LAGRANGE EQUATION IN THE BOUNDARY LAYER
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p. 91-91
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 
:
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.
:
(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 (29.06.2025).